diff --git a/src/time.js b/src/time.js
index d1ea678..403c91a 100644
--- a/src/time.js
+++ b/src/time.js
@@ -9,7 +9,7 @@ function date(t) {
 }
 
 function number(t) {
-  return t instanceof Date ? +t : +new Date(+t);
+  return t instanceof Date ? +t : Math.round(t);
 }
 
 export function calendar(ticks, tickInterval, year, month, week, day, hour, minute, second, format) {
@@ -37,7 +37,7 @@ export function calendar(ticks, tickInterval, year, month, week, day, hour, minu
   }
 
   scale.invert = function(y) {
-    return new Date(invert(y));
+    return new Date(Math.round(invert(y)));
   };
 
   scale.domain = function(_) {
diff --git a/test/utcTime-test.js b/test/utcTime-test.js
index 729feaa..821df2e 100644
--- a/test/utcTime-test.js
+++ b/test/utcTime-test.js
@@ -4,6 +4,17 @@ import {utcDay, utcMinute, utcMonth, utcWeek, utcYear} from "d3-time";
 import {scaleUtc} from "../src/index.js";
 import {utc} from "./date.js";
 
+it("scaleUtc.invert() rounds to the nearest millisecond", () => {
+  const x = scaleUtc().domain([new Date("2022-08-31T22:00Z"), new Date("2022-09-30T21:59:59.999Z")]).range([0, 946]);
+  const date = new Date("2022-09-04T22:00Z");
+  assert.deepStrictEqual(x.invert(x(date)), date);
+});
+
+it("scaleUtc.domain() rounds to the nearest millisecond", () => {
+  const x = scaleUtc().domain([1661983200000.1, 1664575199999.9]).range([0, 946]);
+  assert.deepStrictEqual(x.domain(), [new Date(1661983200000), new Date(1664575200000)]);
+});
+
 it("scaleUtc.nice() is an alias for scaleUtc.nice(10)", () => {
   const x = scaleUtc().domain([utc(2009, 0, 1, 0, 17), utc(2009, 0, 1, 23, 42)]);
   assert.deepStrictEqual(x.nice().domain(), [utc(2009, 0, 1), utc(2009, 0, 2)]);