It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 563 is not a prime number.
For example, 197 563 can be divided by 31: 197 563 / 31 = 6 373.
For 197 563 to be a prime number, it would have been required that 197 563 has only two divisors, i.e., itself and 1.
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197 563 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 197 563 is about 444.481.
Thus, the square root of 197 563 is not an integer, and therefore 197 563 is not a square number.
The square of a number (here 197 563) is the result of the product of this number (197 563) by itself (i.e., 197 563 × 197 563); the square of 197 563 is sometimes called "raising 197 563 to the power 2", or "197 563 squared".
The square of 197 563 is 39 031 138 969 because 197 563 × 197 563 = 197 5632 = 39 031 138 969.
As a consequence, 197 563 is the square root of 39 031 138 969.
The multiples of 197 563 are all integers evenly divisible by 197 563, that is all numbers such that the remainder of the division by 197 563 is zero. There are infinitely many multiples of 197 563. The smallest multiples of 197 563 are: