I have in mind a five-digit number. The first two digits form a square number. The last three digits also form a square number.

If I cube each of the five digits in turn and add them together I get 227.

What is my five-digit number?

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I have in mind a five-digit number. The first two digits form a square number. The last three digits also form a square number.

If I cube each of the five digits in turn and add them together I get 227.

What is my five-digit number?