It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 209 is not a prime number.
For example, 397 209 can be divided by 3: 397 209 / 3 = 132 403.
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For 397 209 to be a prime number, it would have been required that 397 209 has only two divisors, i.e., itself and 1.
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397 209 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 397 209 is about 630.245.
Thus, the square root of 397 209 is not an integer, and therefore 397 209 is not a square number.
The square of a number (here 397 209) is the result of the product of this number (397 209) by itself (i.e., 397 209 × 397 209); the square of 397 209 is sometimes called "raising 397 209 to the power 2", or "397 209 squared".
The square of 397 209 is 157 774 989 681 because 397 209 × 397 209 = 397 2092 = 157 774 989 681.
As a consequence, 397 209 is the square root of 157 774 989 681.
The multiples of 397 209 are all integers evenly divisible by 397 209, that is all numbers such that the remainder of the division by 397 209 is zero. There are infinitely many multiples of 397 209. The smallest multiples of 397 209 are: