It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 363 is not a prime number.
For example, 397 363 can be divided by 43: 397 363 / 43 = 9 241.
For 397 363 to be a prime number, it would have been required that 397 363 has only two divisors, i.e., itself and 1.
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397 363 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 397 363 is about 630.367.
Thus, the square root of 397 363 is not an integer, and therefore 397 363 is not a square number.
The square of a number (here 397 363) is the result of the product of this number (397 363) by itself (i.e., 397 363 × 397 363); the square of 397 363 is sometimes called "raising 397 363 to the power 2", or "397 363 squared".
The square of 397 363 is 157 897 353 769 because 397 363 × 397 363 = 397 3632 = 157 897 353 769.
As a consequence, 397 363 is the square root of 157 897 353 769.
The multiples of 397 363 are all integers evenly divisible by 397 363, that is all numbers such that the remainder of the division by 397 363 is zero. There are infinitely many multiples of 397 363. The smallest multiples of 397 363 are: