It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 149 is not a prime number.
For example, 197 149 can be divided by 17: 197 149 / 17 = 11 597.
For 197 149 to be a prime number, it would have been required that 197 149 has only two divisors, i.e., itself and 1.
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197 149 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 197 149 is about 444.015.
Thus, the square root of 197 149 is not an integer, and therefore 197 149 is not a square number.
The square of a number (here 197 149) is the result of the product of this number (197 149) by itself (i.e., 197 149 × 197 149); the square of 197 149 is sometimes called "raising 197 149 to the power 2", or "197 149 squared".
The square of 197 149 is 38 867 728 201 because 197 149 × 197 149 = 197 1492 = 38 867 728 201.
As a consequence, 197 149 is the square root of 38 867 728 201.
The multiples of 197 149 are all integers evenly divisible by 197 149, that is all numbers such that the remainder of the division by 197 149 is zero. There are infinitely many multiples of 197 149. The smallest multiples of 197 149 are: