It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 621 is not a prime number.
For example, 397 621 can be divided by 7: 397 621 / 7 = 56 803.
For 397 621 to be a prime number, it would have been required that 397 621 has only two divisors, i.e., itself and 1.
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397 621 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 397 621 is about 630.572.
Thus, the square root of 397 621 is not an integer, and therefore 397 621 is not a square number.
The square of a number (here 397 621) is the result of the product of this number (397 621) by itself (i.e., 397 621 × 397 621); the square of 397 621 is sometimes called "raising 397 621 to the power 2", or "397 621 squared".
The square of 397 621 is 158 102 459 641 because 397 621 × 397 621 = 397 6212 = 158 102 459 641.
As a consequence, 397 621 is the square root of 158 102 459 641.
The multiples of 397 621 are all integers evenly divisible by 397 621, that is all numbers such that the remainder of the division by 397 621 is zero. There are infinitely many multiples of 397 621. The smallest multiples of 397 621 are: