It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 708 317 is not a prime number.
For example, 708 317 can be divided by 131: 708 317 / 131 = 5 407.
For 708 317 to be a prime number, it would have been required that 708 317 has only two divisors, i.e., itself and 1.
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708 317 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 708 317 is about 841.616.
Thus, the square root of 708 317 is not an integer, and therefore 708 317 is not a square number.
The square of a number (here 708 317) is the result of the product of this number (708 317) by itself (i.e., 708 317 × 708 317); the square of 708 317 is sometimes called "raising 708 317 to the power 2", or "708 317 squared".
The square of 708 317 is 501 712 972 489 because 708 317 × 708 317 = 708 3172 = 501 712 972 489.
As a consequence, 708 317 is the square root of 501 712 972 489.
The multiples of 708 317 are all integers evenly divisible by 708 317, that is all numbers such that the remainder of the division by 708 317 is zero. There are infinitely many multiples of 708 317. The smallest multiples of 708 317 are: