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Some perfect squares (such as 121) have a digit sum (1 + 2 + 1 = 4) that is equal to the square of the digit sum of their square root (\sqrt{121}=11, and (1 + 1)^2 = 4).

 

What is the smallest perfect square greater than 1000 that does not have this property?

 Jun 9, 2021
 #1
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The answer is 1521.

 Jun 10, 2021

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