It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 561 is not a prime number.
For example, 197 561 can be divided by 7: 197 561 / 7 = 28 223.
For 197 561 to be a prime number, it would have been required that 197 561 has only two divisors, i.e., itself and 1.
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197 561 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 197 561 is about 444.478.
Thus, the square root of 197 561 is not an integer, and therefore 197 561 is not a square number.
The square of a number (here 197 561) is the result of the product of this number (197 561) by itself (i.e., 197 561 × 197 561); the square of 197 561 is sometimes called "raising 197 561 to the power 2", or "197 561 squared".
The square of 197 561 is 39 030 348 721 because 197 561 × 197 561 = 197 5612 = 39 030 348 721.
As a consequence, 197 561 is the square root of 39 030 348 721.
The multiples of 197 561 are all integers evenly divisible by 197 561, that is all numbers such that the remainder of the division by 197 561 is zero. There are infinitely many multiples of 197 561. The smallest multiples of 197 561 are: