It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 198 is not a prime number.
For example, 197 198 can be divided by 2: 197 198 / 2 = 98 599.
For 197 198 to be a prime number, it would have been required that 197 198 has only two divisors, i.e., itself and 1.
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197 198 is an even number, because it is evenly divisible by 2: 197 198 / 2 = 98 599.
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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 197 198 is about 444.070.
Thus, the square root of 197 198 is not an integer, and therefore 197 198 is not a square number.
The square of a number (here 197 198) is the result of the product of this number (197 198) by itself (i.e., 197 198 × 197 198); the square of 197 198 is sometimes called "raising 197 198 to the power 2", or "197 198 squared".
The square of 197 198 is 38 887 051 204 because 197 198 × 197 198 = 197 1982 = 38 887 051 204.
As a consequence, 197 198 is the square root of 38 887 051 204.
The multiples of 197 198 are all integers evenly divisible by 197 198, that is all numbers such that the remainder of the division by 197 198 is zero. There are infinitely many multiples of 197 198. The smallest multiples of 197 198 are: