It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 638 507 is not a prime number.
For example, 638 507 can be divided by 31: 638 507 / 31 = 20 597.
For 638 507 to be a prime number, it would have been required that 638 507 has only two divisors, i.e., itself and 1.
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638 507 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 638 507 is about 799.066.
Thus, the square root of 638 507 is not an integer, and therefore 638 507 is not a square number.
The square of a number (here 638 507) is the result of the product of this number (638 507) by itself (i.e., 638 507 × 638 507); the square of 638 507 is sometimes called "raising 638 507 to the power 2", or "638 507 squared".
The square of 638 507 is 407 691 189 049 because 638 507 × 638 507 = 638 5072 = 407 691 189 049.
As a consequence, 638 507 is the square root of 407 691 189 049.
The multiples of 638 507 are all integers evenly divisible by 638 507, that is all numbers such that the remainder of the division by 638 507 is zero. There are infinitely many multiples of 638 507. The smallest multiples of 638 507 are: