It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 198 is not a prime number.
For example, 397 198 can be divided by 2: 397 198 / 2 = 198 599.
For 397 198 to be a prime number, it would have been required that 397 198 has only two divisors, i.e., itself and 1.
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397 198 is an even number, because it is evenly divisible by 2: 397 198 / 2 = 198 599.
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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 397 198 is about 630.236.
Thus, the square root of 397 198 is not an integer, and therefore 397 198 is not a square number.
The square of a number (here 397 198) is the result of the product of this number (397 198) by itself (i.e., 397 198 × 397 198); the square of 397 198 is sometimes called "raising 397 198 to the power 2", or "397 198 squared".
The square of 397 198 is 157 766 251 204 because 397 198 × 397 198 = 397 1982 = 157 766 251 204.
As a consequence, 397 198 is the square root of 157 766 251 204.
The multiples of 397 198 are all integers evenly divisible by 397 198, that is all numbers such that the remainder of the division by 397 198 is zero. There are infinitely many multiples of 397 198. The smallest multiples of 397 198 are: