It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 018 137 is not a prime number.
For example, 9 018 137 can be divided by 419: 9 018 137 / 419 = 21 523.
For 9 018 137 to be a prime number, it would have been required that 9 018 137 has only two divisors, i.e., itself and 1.
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9 018 137 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 9 018 137 is about 3 003.021.
Thus, the square root of 9 018 137 is not an integer, and therefore 9 018 137 is not a square number.
The square of a number (here 9 018 137) is the result of the product of this number (9 018 137) by itself (i.e., 9 018 137 × 9 018 137); the square of 9 018 137 is sometimes called "raising 9 018 137 to the power 2", or "9 018 137 squared".
The square of 9 018 137 is 81 326 794 950 769 because 9 018 137 × 9 018 137 = 9 018 1372 = 81 326 794 950 769.
As a consequence, 9 018 137 is the square root of 81 326 794 950 769.
The multiples of 9 018 137 are all integers evenly divisible by 9 018 137, that is all numbers such that the remainder of the division by 9 018 137 is zero. There are infinitely many multiples of 9 018 137. The smallest multiples of 9 018 137 are: