It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 013 is not a prime number.
For example, 197 013 can be divided by 3: 197 013 / 3 = 65 671.
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For 197 013 to be a prime number, it would have been required that 197 013 has only two divisors, i.e., itself and 1.
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197 013 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 197 013 is about 443.861.
Thus, the square root of 197 013 is not an integer, and therefore 197 013 is not a square number.
The square of a number (here 197 013) is the result of the product of this number (197 013) by itself (i.e., 197 013 × 197 013); the square of 197 013 is sometimes called "raising 197 013 to the power 2", or "197 013 squared".
The square of 197 013 is 38 814 122 169 because 197 013 × 197 013 = 197 0132 = 38 814 122 169.
As a consequence, 197 013 is the square root of 38 814 122 169.
The multiples of 197 013 are all integers evenly divisible by 197 013, that is all numbers such that the remainder of the division by 197 013 is zero. There are infinitely many multiples of 197 013. The smallest multiples of 197 013 are: