diff --git a/docs/parsing.md b/docs/parsing.md
index f3b98493e..e3fad2872 100644
--- a/docs/parsing.md
+++ b/docs/parsing.md
@@ -205,13 +205,13 @@ Because Luxon was able to parse the string without difficulty, the output is a l
 | a                |              | meridiem                                                          | `AM`                        |
 | d                |              | day of the month, no padding                                      | `6`                         |
 | dd               |              | day of the month, padded to 2                                     | `06`                        |
-| E                | c            | day of the week, as number from 1-7 (Monday is 1, Sunday is 7)    | `3`                         |
-| EEE              | ccc          | day of the week, as an abbreviate localized string                | `Wed`                       |
-| EEEE             | cccc         | day of the week, as an unabbreviated localized string             | `Wednesday`                 |
-| M                | L            | month as an unpadded number                                       | `8`                         |
-| MM               | LL           | month as an padded number                                         | `08`                        |
-| MMM              | LLL          | month as an abbreviated localized string                          | `Aug`                       |
-| MMMM             | LLLL         | month as an unabbreviated localized string                        | `August`                    |
+| c                | E            | day of the week, as number from 1-7 (Monday is 1, Sunday is 7)    | `3`                         |
+| ccc              | EEE          | day of the week, as an abbreviate localized string                | `Wed`                       |
+| cccc             | EEEE         | day of the week, as an unabbreviated localized string             | `Wednesday`                 |
+| L                | M            | month as an unpadded number                                       | `8`                         |
+| LL               | MM           | month as an padded number                                         | `08`                        |
+| LLL              | MMM          | month as an abbreviated localized string                          | `Aug`                       |
+| LLLL             | MMMM         | month as an unabbreviated localized string                        | `August`                    |
 | y                |              | year, 1-6 digits, very literally                                  | `2014`                      |
 | yy               |              | two-digit year, interpreted as > 1960 by default (also accepts 4) | `14`                        |
 | yyyy             |              | four-digit year                                                   | `2014`                      |
diff --git a/src/impl/regexParser.js b/src/impl/regexParser.js
index 807a42ea2..fcd6d45ff 100644
--- a/src/impl/regexParser.js
+++ b/src/impl/regexParser.js
@@ -159,6 +159,7 @@ function extractISODuration(match) {
 // I'm just going to ignore that
 const obsOffsets = {
   GMT: 0,
+  UT: 0,
   EDT: -4 * 60,
   EST: -5 * 60,
   CDT: -5 * 60,
diff --git a/src/zones/fixedOffsetZone.js b/src/zones/fixedOffsetZone.js
index b1ab4ab1d..bc46e24aa 100644
--- a/src/zones/fixedOffsetZone.js
+++ b/src/zones/fixedOffsetZone.js
@@ -50,6 +50,8 @@ export default class FixedOffsetZone extends Zone {
     super();
     /** @private **/
     this.fixed = offset;
+    /** @private **/
+    this.valid = Number.isInteger(offset);
   }
 
   /**
@@ -140,11 +142,11 @@ export default class FixedOffsetZone extends Zone {
 
   /**
    * Return whether this Zone is valid:
-   * All fixed offset zones are valid.
+   * All fixed offset zones are valid, provided they were constructed with a numeric offset.
    * @override
    * @type {boolean}
    */
   get isValid() {
-    return true;
+    return this.valid;
   }
 }
diff --git a/test/datetime/regexParse.test.js b/test/datetime/regexParse.test.js
index 85d12002e..f4c54154f 100644
--- a/test/datetime/regexParse.test.js
+++ b/test/datetime/regexParse.test.js
@@ -831,6 +831,20 @@ test("DateTime.fromRFC2822() can use a weird subset of offset abbreviations", ()
   });
 });
 
+test("DateTime.fromRFC2822() can use the obsolete UT zone", () => {
+  const dt = DateTime.fromRFC2822("01 Nov 2016 13:23:12 UT");
+  expect(dt.isValid).toBe(true);
+  expect(dt.toUTC().toObject()).toEqual({
+    year: 2016,
+    month: 11,
+    day: 1,
+    hour: 13,
+    minute: 23,
+    second: 12,
+    millisecond: 0,
+  });
+});
+
 //------
 // .fromHTTP
 //-------
diff --git a/test/zones/fixedOffset.test.js b/test/zones/fixedOffset.test.js
index 606b38406..b33260d71 100644
--- a/test/zones/fixedOffset.test.js
+++ b/test/zones/fixedOffset.test.js
@@ -1,5 +1,5 @@
 /* global test expect */
-import { FixedOffsetZone, IANAZone } from "../../src/luxon";
+import { DateTime, FixedOffsetZone, IANAZone } from "../../src/luxon";
 
 test("FixedOffsetZone.utcInstance returns a singleton", () => {
   expect(FixedOffsetZone.utcInstance).toBe(FixedOffsetZone.utcInstance);
@@ -63,6 +63,30 @@ test("FixedOffsetZone.formatOffset prints the correct sign before the offset", (
   expect(FixedOffsetZone.instance(300).formatOffset(0, "short")).toBe("+05:00");
 });
 
+test("FixedOffsetZone is valid when constructed with a numeric offset", () => {
+  expect(new FixedOffsetZone(0).isValid).toBe(true);
+  expect(new FixedOffsetZone(120).isValid).toBe(true);
+  expect(new FixedOffsetZone(-300).isValid).toBe(true);
+  expect(FixedOffsetZone.instance(60).isValid).toBe(true);
+});
+
+test("FixedOffsetZone is invalid when constructed with a non-numeric offset", () => {
+  // see https://github.com/moment/luxon/issues/1068
+  expect(new FixedOffsetZone("CDT").isValid).toBe(false);
+  expect(new FixedOffsetZone("5").isValid).toBe(false);
+  expect(new FixedOffsetZone("abc").isValid).toBe(false);
+  expect(new FixedOffsetZone(NaN).isValid).toBe(false);
+  expect(new FixedOffsetZone(undefined).isValid).toBe(false);
+  expect(new FixedOffsetZone(null).isValid).toBe(false);
+  expect(new FixedOffsetZone({}).isValid).toBe(false);
+});
+
+test("A DateTime in an invalid FixedOffsetZone is itself invalid", () => {
+  const dt = DateTime.fromMillis(0, { zone: new FixedOffsetZone("CDT") });
+  expect(dt.isValid).toBe(false);
+  expect(dt.invalidReason).toBe("unsupported zone");
+});
+
 test("FixedOffsetZone.equals requires both zones to be fixed", () => {
   expect(FixedOffsetZone.utcInstance.equals(IANAZone.create("UTC"))).toBe(false);
 });