It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 12 737 is not a prime number.
For example, 12 737 can be divided by 47: 12 737 / 47 = 271.
For 12 737 to be a prime number, it would have been required that 12 737 has only two divisors, i.e., itself and 1.
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12 737 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 12 737 is about 112.858.
Thus, the square root of 12 737 is not an integer, and therefore 12 737 is not a square number.
The square of a number (here 12 737) is the result of the product of this number (12 737) by itself (i.e., 12 737 × 12 737); the square of 12 737 is sometimes called "raising 12 737 to the power 2", or "12 737 squared".
The square of 12 737 is 162 231 169 because 12 737 × 12 737 = 12 7372 = 162 231 169.
As a consequence, 12 737 is the square root of 162 231 169.
The multiples of 12 737 are all integers evenly divisible by 12 737, that is all numbers such that the remainder of the division by 12 737 is zero. There are infinitely many multiples of 12 737. The smallest multiples of 12 737 are: