It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 997 is not a prime number.
For example, 197 997 can be divided by 3: 197 997 / 3 = 65 999.
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For 197 997 to be a prime number, it would have been required that 197 997 has only two divisors, i.e., itself and 1.
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197 997 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 197 997 is about 444.969.
Thus, the square root of 197 997 is not an integer, and therefore 197 997 is not a square number.
The square of a number (here 197 997) is the result of the product of this number (197 997) by itself (i.e., 197 997 × 197 997); the square of 197 997 is sometimes called "raising 197 997 to the power 2", or "197 997 squared".
The square of 197 997 is 39 202 812 009 because 197 997 × 197 997 = 197 9972 = 39 202 812 009.
As a consequence, 197 997 is the square root of 39 202 812 009.
The multiples of 197 997 are all integers evenly divisible by 197 997, that is all numbers such that the remainder of the division by 197 997 is zero. There are infinitely many multiples of 197 997. The smallest multiples of 197 997 are: