It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 391 is not a prime number.
For example, 397 391 can be divided by 401: 397 391 / 401 = 991.
For 397 391 to be a prime number, it would have been required that 397 391 has only two divisors, i.e., itself and 1.
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397 391 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 397 391 is about 630.390.
Thus, the square root of 397 391 is not an integer, and therefore 397 391 is not a square number.
The square of a number (here 397 391) is the result of the product of this number (397 391) by itself (i.e., 397 391 × 397 391); the square of 397 391 is sometimes called "raising 397 391 to the power 2", or "397 391 squared".
The square of 397 391 is 157 919 606 881 because 397 391 × 397 391 = 397 3912 = 157 919 606 881.
As a consequence, 397 391 is the square root of 157 919 606 881.
The multiples of 397 391 are all integers evenly divisible by 397 391, that is all numbers such that the remainder of the division by 397 391 is zero. There are infinitely many multiples of 397 391. The smallest multiples of 397 391 are: