It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 627 638 is not a prime number.
For example, 627 638 can be divided by 2: 627 638 / 2 = 313 819.
For 627 638 to be a prime number, it would have been required that 627 638 has only two divisors, i.e., itself and 1.
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627 638 is an even number, because it is evenly divisible by 2: 627 638 / 2 = 313 819.
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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 627 638 is about 792.236.
Thus, the square root of 627 638 is not an integer, and therefore 627 638 is not a square number.
The square of a number (here 627 638) is the result of the product of this number (627 638) by itself (i.e., 627 638 × 627 638); the square of 627 638 is sometimes called "raising 627 638 to the power 2", or "627 638 squared".
The square of 627 638 is 393 929 459 044 because 627 638 × 627 638 = 627 6382 = 393 929 459 044.
As a consequence, 627 638 is the square root of 393 929 459 044.
The multiples of 627 638 are all integers evenly divisible by 627 638, that is all numbers such that the remainder of the division by 627 638 is zero. There are infinitely many multiples of 627 638. The smallest multiples of 627 638 are: