It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 501 is not a prime number.
For example, 197 501 can be divided by 23: 197 501 / 23 = 8 587.
For 197 501 to be a prime number, it would have been required that 197 501 has only two divisors, i.e., itself and 1.
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197 501 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 197 501 is about 444.411.
Thus, the square root of 197 501 is not an integer, and therefore 197 501 is not a square number.
The square of a number (here 197 501) is the result of the product of this number (197 501) by itself (i.e., 197 501 × 197 501); the square of 197 501 is sometimes called "raising 197 501 to the power 2", or "197 501 squared".
The square of 197 501 is 39 006 645 001 because 197 501 × 197 501 = 197 5012 = 39 006 645 001.
As a consequence, 197 501 is the square root of 39 006 645 001.
The multiples of 197 501 are all integers evenly divisible by 197 501, that is all numbers such that the remainder of the division by 197 501 is zero. There are infinitely many multiples of 197 501. The smallest multiples of 197 501 are: