It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 191 is not a prime number.
For example, 197 191 can be divided by 31: 197 191 / 31 = 6 361.
For 197 191 to be a prime number, it would have been required that 197 191 has only two divisors, i.e., itself and 1.
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197 191 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 197 191 is about 444.062.
Thus, the square root of 197 191 is not an integer, and therefore 197 191 is not a square number.
The square of a number (here 197 191) is the result of the product of this number (197 191) by itself (i.e., 197 191 × 197 191); the square of 197 191 is sometimes called "raising 197 191 to the power 2", or "197 191 squared".
The square of 197 191 is 38 884 290 481 because 197 191 × 197 191 = 197 1912 = 38 884 290 481.
As a consequence, 197 191 is the square root of 38 884 290 481.
The multiples of 197 191 are all integers evenly divisible by 197 191, that is all numbers such that the remainder of the division by 197 191 is zero. There are infinitely many multiples of 197 191. The smallest multiples of 197 191 are: