It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 31 688 is not a prime number.
For example, 31 688 can be divided by 2: 31 688 / 2 = 15 844.
For 31 688 to be a prime number, it would have been required that 31 688 has only two divisors, i.e., itself and 1.
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31 688 is an even number, because it is evenly divisible by 2: 31 688 / 2 = 15 844.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 31 688 is about 178.011.
Thus, the square root of 31 688 is not an integer, and therefore 31 688 is not a square number.
The square of a number (here 31 688) is the result of the product of this number (31 688) by itself (i.e., 31 688 × 31 688); the square of 31 688 is sometimes called "raising 31 688 to the power 2", or "31 688 squared".
The square of 31 688 is 1 004 129 344 because 31 688 × 31 688 = 31 6882 = 1 004 129 344.
As a consequence, 31 688 is the square root of 1 004 129 344.
The multiples of 31 688 are all integers evenly divisible by 31 688, that is all numbers such that the remainder of the division by 31 688 is zero. There are infinitely many multiples of 31 688. The smallest multiples of 31 688 are: