It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 37 873 is not a prime number.
For example, 37 873 can be divided by 11: 37 873 / 11 = 3 443.
For 37 873 to be a prime number, it would have been required that 37 873 has only two divisors, i.e., itself and 1.
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37 873 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 37 873 is about 194.610.
Thus, the square root of 37 873 is not an integer, and therefore 37 873 is not a square number.
The square of a number (here 37 873) is the result of the product of this number (37 873) by itself (i.e., 37 873 × 37 873); the square of 37 873 is sometimes called "raising 37 873 to the power 2", or "37 873 squared".
The square of 37 873 is 1 434 364 129 because 37 873 × 37 873 = 37 8732 = 1 434 364 129.
As a consequence, 37 873 is the square root of 1 434 364 129.
The multiples of 37 873 are all integers evenly divisible by 37 873, that is all numbers such that the remainder of the division by 37 873 is zero. There are infinitely many multiples of 37 873. The smallest multiples of 37 873 are: