It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 387 is not a prime number.
For example, 397 387 can be divided by 29: 397 387 / 29 = 13 703.
For 397 387 to be a prime number, it would have been required that 397 387 has only two divisors, i.e., itself and 1.
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397 387 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 397 387 is about 630.386.
Thus, the square root of 397 387 is not an integer, and therefore 397 387 is not a square number.
The square of a number (here 397 387) is the result of the product of this number (397 387) by itself (i.e., 397 387 × 397 387); the square of 397 387 is sometimes called "raising 397 387 to the power 2", or "397 387 squared".
The square of 397 387 is 157 916 427 769 because 397 387 × 397 387 = 397 3872 = 157 916 427 769.
As a consequence, 397 387 is the square root of 157 916 427 769.
The multiples of 397 387 are all integers evenly divisible by 397 387, that is all numbers such that the remainder of the division by 397 387 is zero. There are infinitely many multiples of 397 387. The smallest multiples of 397 387 are: