It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 198 201 is not a prime number.
For example, 198 201 can be divided by 3: 198 201 / 3 = 66 067.
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For 198 201 to be a prime number, it would have been required that 198 201 has only two divisors, i.e., itself and 1.
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198 201 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 198 201 is about 445.198.
Thus, the square root of 198 201 is not an integer, and therefore 198 201 is not a square number.
The square of a number (here 198 201) is the result of the product of this number (198 201) by itself (i.e., 198 201 × 198 201); the square of 198 201 is sometimes called "raising 198 201 to the power 2", or "198 201 squared".
The square of 198 201 is 39 283 636 401 because 198 201 × 198 201 = 198 2012 = 39 283 636 401.
As a consequence, 198 201 is the square root of 39 283 636 401.
The multiples of 198 201 are all integers evenly divisible by 198 201, that is all numbers such that the remainder of the division by 198 201 is zero. There are infinitely many multiples of 198 201. The smallest multiples of 198 201 are: