It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 321 is not a prime number.
For example, 397 321 can be divided by 83: 397 321 / 83 = 4 787.
For 397 321 to be a prime number, it would have been required that 397 321 has only two divisors, i.e., itself and 1.
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397 321 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 397 321 is about 630.334.
Thus, the square root of 397 321 is not an integer, and therefore 397 321 is not a square number.
The square of a number (here 397 321) is the result of the product of this number (397 321) by itself (i.e., 397 321 × 397 321); the square of 397 321 is sometimes called "raising 397 321 to the power 2", or "397 321 squared".
The square of 397 321 is 157 863 977 041 because 397 321 × 397 321 = 397 3212 = 157 863 977 041.
As a consequence, 397 321 is the square root of 157 863 977 041.
The multiples of 397 321 are all integers evenly divisible by 397 321, that is all numbers such that the remainder of the division by 397 321 is zero. There are infinitely many multiples of 397 321. The smallest multiples of 397 321 are: