It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 412 is not a prime number.
For example, 397 412 can be divided by 2: 397 412 / 2 = 198 706.
For 397 412 to be a prime number, it would have been required that 397 412 has only two divisors, i.e., itself and 1.
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397 412 is an even number, because it is evenly divisible by 2: 397 412 / 2 = 198 706.
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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 397 412 is about 630.406.
Thus, the square root of 397 412 is not an integer, and therefore 397 412 is not a square number.
The square of a number (here 397 412) is the result of the product of this number (397 412) by itself (i.e., 397 412 × 397 412); the square of 397 412 is sometimes called "raising 397 412 to the power 2", or "397 412 squared".
The square of 397 412 is 157 936 297 744 because 397 412 × 397 412 = 397 4122 = 157 936 297 744.
As a consequence, 397 412 is the square root of 157 936 297 744.
The multiples of 397 412 are all integers evenly divisible by 397 412, that is all numbers such that the remainder of the division by 397 412 is zero. There are infinitely many multiples of 397 412. The smallest multiples of 397 412 are: