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If each digit is a square, that two digit number must have digits from the numbers 1, 4 or 9 (the single digit perfect squares) with replacement. As such, we can write out these possible numbers as 11, 14, 19, 41, 44, 49, 91, 94 and 99 (3 x 3 numbers). The only square in that list is 49, and it happens to have the property of having a prime sum and difference in its digits.