It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 337 008 is not a prime number.
For example, 337 008 can be divided by 2: 337 008 / 2 = 168 504.
For 337 008 to be a prime number, it would have been required that 337 008 has only two divisors, i.e., itself and 1.
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337 008 is an even number, because it is evenly divisible by 2: 337 008 / 2 = 168 504.
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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 337 008 is about 580.524.
Thus, the square root of 337 008 is not an integer, and therefore 337 008 is not a square number.
The square of a number (here 337 008) is the result of the product of this number (337 008) by itself (i.e., 337 008 × 337 008); the square of 337 008 is sometimes called "raising 337 008 to the power 2", or "337 008 squared".
The square of 337 008 is 113 574 392 064 because 337 008 × 337 008 = 337 0082 = 113 574 392 064.
As a consequence, 337 008 is the square root of 113 574 392 064.
The multiples of 337 008 are all integers evenly divisible by 337 008, that is all numbers such that the remainder of the division by 337 008 is zero. There are infinitely many multiples of 337 008. The smallest multiples of 337 008 are: