It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 231 is not a prime number.
For example, 397 231 can be divided by 163: 397 231 / 163 = 2 437.
For 397 231 to be a prime number, it would have been required that 397 231 has only two divisors, i.e., itself and 1.
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397 231 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 397 231 is about 630.263.
Thus, the square root of 397 231 is not an integer, and therefore 397 231 is not a square number.
The square of a number (here 397 231) is the result of the product of this number (397 231) by itself (i.e., 397 231 × 397 231); the square of 397 231 is sometimes called "raising 397 231 to the power 2", or "397 231 squared".
The square of 397 231 is 157 792 467 361 because 397 231 × 397 231 = 397 2312 = 157 792 467 361.
As a consequence, 397 231 is the square root of 157 792 467 361.
The multiples of 397 231 are all integers evenly divisible by 397 231, that is all numbers such that the remainder of the division by 397 231 is zero. There are infinitely many multiples of 397 231. The smallest multiples of 397 231 are: