It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 797 is not a prime number.
For example, 137 797 can be divided by 11: 137 797 / 11 = 12 527.
For 137 797 to be a prime number, it would have been required that 137 797 has only two divisors, i.e., itself and 1.
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137 797 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 137 797 is about 371.210.
Thus, the square root of 137 797 is not an integer, and therefore 137 797 is not a square number.
The square of a number (here 137 797) is the result of the product of this number (137 797) by itself (i.e., 137 797 × 137 797); the square of 137 797 is sometimes called "raising 137 797 to the power 2", or "137 797 squared".
The square of 137 797 is 18 988 013 209 because 137 797 × 137 797 = 137 7972 = 18 988 013 209.
As a consequence, 137 797 is the square root of 18 988 013 209.
The multiples of 137 797 are all integers evenly divisible by 137 797, that is all numbers such that the remainder of the division by 137 797 is zero. There are infinitely many multiples of 137 797. The smallest multiples of 137 797 are: