It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 937 is not a prime number.
For example, 397 937 can be divided by 383: 397 937 / 383 = 1 039.
For 397 937 to be a prime number, it would have been required that 397 937 has only two divisors, i.e., itself and 1.
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397 937 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 397 937 is about 630.822.
Thus, the square root of 397 937 is not an integer, and therefore 397 937 is not a square number.
The square of a number (here 397 937) is the result of the product of this number (397 937) by itself (i.e., 397 937 × 397 937); the square of 397 937 is sometimes called "raising 397 937 to the power 2", or "397 937 squared".
The square of 397 937 is 158 353 855 969 because 397 937 × 397 937 = 397 9372 = 158 353 855 969.
As a consequence, 397 937 is the square root of 158 353 855 969.
The multiples of 397 937 are all integers evenly divisible by 397 937, that is all numbers such that the remainder of the division by 397 937 is zero. There are infinitely many multiples of 397 937. The smallest multiples of 397 937 are: