It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 201 is not a prime number.
For example, 397 201 can be divided by 7: 397 201 / 7 = 56 743.
For 397 201 to be a prime number, it would have been required that 397 201 has only two divisors, i.e., itself and 1.
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397 201 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 397 201 is about 630.239.
Thus, the square root of 397 201 is not an integer, and therefore 397 201 is not a square number.
The square of a number (here 397 201) is the result of the product of this number (397 201) by itself (i.e., 397 201 × 397 201); the square of 397 201 is sometimes called "raising 397 201 to the power 2", or "397 201 squared".
The square of 397 201 is 157 768 634 401 because 397 201 × 397 201 = 397 2012 = 157 768 634 401.
As a consequence, 397 201 is the square root of 157 768 634 401.
The multiples of 397 201 are all integers evenly divisible by 397 201, that is all numbers such that the remainder of the division by 397 201 is zero. There are infinitely many multiples of 397 201. The smallest multiples of 397 201 are: