It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 307 is not a prime number.
For example, 330 307 can be divided by 137: 330 307 / 137 = 2 411.
For 330 307 to be a prime number, it would have been required that 330 307 has only two divisors, i.e., itself and 1.
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330 307 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 330 307 is about 574.723.
Thus, the square root of 330 307 is not an integer, and therefore 330 307 is not a square number.
The square of a number (here 330 307) is the result of the product of this number (330 307) by itself (i.e., 330 307 × 330 307); the square of 330 307 is sometimes called "raising 330 307 to the power 2", or "330 307 squared".
The square of 330 307 is 109 102 714 249 because 330 307 × 330 307 = 330 3072 = 109 102 714 249.
As a consequence, 330 307 is the square root of 109 102 714 249.
The multiples of 330 307 are all integers evenly divisible by 330 307, that is all numbers such that the remainder of the division by 330 307 is zero. There are infinitely many multiples of 330 307. The smallest multiples of 330 307 are: