It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 497 is not a prime number.
For example, 197 497 can be divided by 41: 197 497 / 41 = 4 817.
For 197 497 to be a prime number, it would have been required that 197 497 has only two divisors, i.e., itself and 1.
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197 497 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 197 497 is about 444.406.
Thus, the square root of 197 497 is not an integer, and therefore 197 497 is not a square number.
The square of a number (here 197 497) is the result of the product of this number (197 497) by itself (i.e., 197 497 × 197 497); the square of 197 497 is sometimes called "raising 197 497 to the power 2", or "197 497 squared".
The square of 197 497 is 39 005 065 009 because 197 497 × 197 497 = 197 4972 = 39 005 065 009.
As a consequence, 197 497 is the square root of 39 005 065 009.
The multiples of 197 497 are all integers evenly divisible by 197 497, that is all numbers such that the remainder of the division by 197 497 is zero. There are infinitely many multiples of 197 497. The smallest multiples of 197 497 are: