It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 396 397 is not a prime number.
For example, 396 397 can be divided by 19: 396 397 / 19 = 20 863.
For 396 397 to be a prime number, it would have been required that 396 397 has only two divisors, i.e., itself and 1.
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396 397 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 396 397 is about 629.601.
Thus, the square root of 396 397 is not an integer, and therefore 396 397 is not a square number.
The square of a number (here 396 397) is the result of the product of this number (396 397) by itself (i.e., 396 397 × 396 397); the square of 396 397 is sometimes called "raising 396 397 to the power 2", or "396 397 squared".
The square of 396 397 is 157 130 581 609 because 396 397 × 396 397 = 396 3972 = 157 130 581 609.
As a consequence, 396 397 is the square root of 157 130 581 609.
The multiples of 396 397 are all integers evenly divisible by 396 397, that is all numbers such that the remainder of the division by 396 397 is zero. There are infinitely many multiples of 396 397. The smallest multiples of 396 397 are: