It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 513 is not a prime number.
For example, 197 513 can be divided by 263: 197 513 / 263 = 751.
For 197 513 to be a prime number, it would have been required that 197 513 has only two divisors, i.e., itself and 1.
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197 513 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 197 513 is about 444.424.
Thus, the square root of 197 513 is not an integer, and therefore 197 513 is not a square number.
The square of a number (here 197 513) is the result of the product of this number (197 513) by itself (i.e., 197 513 × 197 513); the square of 197 513 is sometimes called "raising 197 513 to the power 2", or "197 513 squared".
The square of 197 513 is 39 011 385 169 because 197 513 × 197 513 = 197 5132 = 39 011 385 169.
As a consequence, 197 513 is the square root of 39 011 385 169.
The multiples of 197 513 are all integers evenly divisible by 197 513, that is all numbers such that the remainder of the division by 197 513 is zero. There are infinitely many multiples of 197 513. The smallest multiples of 197 513 are: