It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 209 is not a prime number.
For example, 197 209 can be divided by 199: 197 209 / 199 = 991.
For 197 209 to be a prime number, it would have been required that 197 209 has only two divisors, i.e., itself and 1.
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197 209 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 197 209 is about 444.082.
Thus, the square root of 197 209 is not an integer, and therefore 197 209 is not a square number.
The square of a number (here 197 209) is the result of the product of this number (197 209) by itself (i.e., 197 209 × 197 209); the square of 197 209 is sometimes called "raising 197 209 to the power 2", or "197 209 squared".
The square of 197 209 is 38 891 389 681 because 197 209 × 197 209 = 197 2092 = 38 891 389 681.
As a consequence, 197 209 is the square root of 38 891 389 681.
The multiples of 197 209 are all integers evenly divisible by 197 209, that is all numbers such that the remainder of the division by 197 209 is zero. There are infinitely many multiples of 197 209. The smallest multiples of 197 209 are: