It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 18 437 is not a prime number.
For example, 18 437 can be divided by 103: 18 437 / 103 = 179.
For 18 437 to be a prime number, it would have been required that 18 437 has only two divisors, i.e., itself and 1.
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18 437 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 18 437 is about 135.783.
Thus, the square root of 18 437 is not an integer, and therefore 18 437 is not a square number.
The square of a number (here 18 437) is the result of the product of this number (18 437) by itself (i.e., 18 437 × 18 437); the square of 18 437 is sometimes called "raising 18 437 to the power 2", or "18 437 squared".
The square of 18 437 is 339 922 969 because 18 437 × 18 437 = 18 4372 = 339 922 969.
As a consequence, 18 437 is the square root of 339 922 969.
The multiples of 18 437 are all integers evenly divisible by 18 437, that is all numbers such that the remainder of the division by 18 437 is zero. There are infinitely many multiples of 18 437. The smallest multiples of 18 437 are: