It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 167 137 is not a prime number.
For example, 167 137 can be divided by 397: 167 137 / 397 = 421.
For 167 137 to be a prime number, it would have been required that 167 137 has only two divisors, i.e., itself and 1.
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167 137 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 167 137 is about 408.824.
Thus, the square root of 167 137 is not an integer, and therefore 167 137 is not a square number.
The square of a number (here 167 137) is the result of the product of this number (167 137) by itself (i.e., 167 137 × 167 137); the square of 167 137 is sometimes called "raising 167 137 to the power 2", or "167 137 squared".
The square of 167 137 is 27 934 776 769 because 167 137 × 167 137 = 167 1372 = 27 934 776 769.
As a consequence, 167 137 is the square root of 27 934 776 769.
The multiples of 167 137 are all integers evenly divisible by 167 137, that is all numbers such that the remainder of the division by 167 137 is zero. There are infinitely many multiples of 167 137. The smallest multiples of 167 137 are: