It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 708 637 is not a prime number.
For example, 708 637 can be divided by 61: 708 637 / 61 = 11 617.
For 708 637 to be a prime number, it would have been required that 708 637 has only two divisors, i.e., itself and 1.
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708 637 is an odd number, because it is not evenly divisible by 2.
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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 708 637 is about 841.806.
Thus, the square root of 708 637 is not an integer, and therefore 708 637 is not a square number.
The square of a number (here 708 637) is the result of the product of this number (708 637) by itself (i.e., 708 637 × 708 637); the square of 708 637 is sometimes called "raising 708 637 to the power 2", or "708 637 squared".
The square of 708 637 is 502 166 397 769 because 708 637 × 708 637 = 708 6372 = 502 166 397 769.
As a consequence, 708 637 is the square root of 502 166 397 769.
The multiples of 708 637 are all integers evenly divisible by 708 637, that is all numbers such that the remainder of the division by 708 637 is zero. There are infinitely many multiples of 708 637. The smallest multiples of 708 637 are: