An energy being from Alpha Centauri comes to your home to test Humanities intelligence. IF you answer correctly, humanity will become part of a large intergalactic federation. If you answer incorrectly, the alien will shroud the Earth in perpetual darkness. Here's the problem:

1. Consider an integer N that is greater than 1.

2. Consider the integer M, which is the square root of N.

3. Given that M is the sum the digits of N, what is N and M?

Hint: Only one value of N can satisfy these properties.

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