It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 37 908 is not a prime number.
For example, 37 908 can be divided by 2: 37 908 / 2 = 18 954.
For 37 908 to be a prime number, it would have been required that 37 908 has only two divisors, i.e., itself and 1.
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37 908 is an even number, because it is evenly divisible by 2: 37 908 / 2 = 18 954.
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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 37 908 is about 194.700.
Thus, the square root of 37 908 is not an integer, and therefore 37 908 is not a square number.
The square of a number (here 37 908) is the result of the product of this number (37 908) by itself (i.e., 37 908 × 37 908); the square of 37 908 is sometimes called "raising 37 908 to the power 2", or "37 908 squared".
The square of 37 908 is 1 437 016 464 because 37 908 × 37 908 = 37 9082 = 1 437 016 464.
As a consequence, 37 908 is the square root of 1 437 016 464.
The multiples of 37 908 are all integers evenly divisible by 37 908, that is all numbers such that the remainder of the division by 37 908 is zero. There are infinitely many multiples of 37 908. The smallest multiples of 37 908 are: