Track / Stage 4 / 43 of 340 #303 of 1964

Problem 303

AMC 12 late, AIME early

Number theory Difficulty 4.6 Find the answer

8. A four-digit number has all non-zero even digits, and its arithmetic square root is exactly a two-digit number, with both digits of this two-digit number also being non-zero even numbers. Then this four-digit number is $\qquad$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$8.4624$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.