How many of the numbers from 10 through 87 have the sum of their digits equal to a perfect square?
There are numbers whose digits sum to a perfect square.

Answer

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Answer

The number of numbers from 10 through 87 that have the sum of their digits equal to a perfect square is \(\boxed{14}\)

Steps

Step 1 ：Iterate through each number from 10 to 87

Step 2 ：Calculate the sum of the digits of each number

Step 3 ：Check if the sum of the digits is a perfect square by checking if the square root of the sum is an integer

Step 4 ：Keep a count of the numbers that meet this criteria

Step 5 ：The number of numbers from 10 through 87 that have the sum of their digits equal to a perfect square is \(\boxed{14}\)