It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 331 is not a prime number.
For example, 397 331 can be divided by 11: 397 331 / 11 = 36 121.
For 397 331 to be a prime number, it would have been required that 397 331 has only two divisors, i.e., itself and 1.
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397 331 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 397 331 is about 630.342.
Thus, the square root of 397 331 is not an integer, and therefore 397 331 is not a square number.
The square of a number (here 397 331) is the result of the product of this number (397 331) by itself (i.e., 397 331 × 397 331); the square of 397 331 is sometimes called "raising 397 331 to the power 2", or "397 331 squared".
The square of 397 331 is 157 871 923 561 because 397 331 × 397 331 = 397 3312 = 157 871 923 561.
As a consequence, 397 331 is the square root of 157 871 923 561.
The multiples of 397 331 are all integers evenly divisible by 397 331, that is all numbers such that the remainder of the division by 397 331 is zero. There are infinitely many multiples of 397 331. The smallest multiples of 397 331 are: