It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 398 009 is not a prime number.
For example, 398 009 can be divided by 31: 398 009 / 31 = 12 839.
For 398 009 to be a prime number, it would have been required that 398 009 has only two divisors, i.e., itself and 1.
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398 009 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 398 009 is about 630.880.
Thus, the square root of 398 009 is not an integer, and therefore 398 009 is not a square number.
The square of a number (here 398 009) is the result of the product of this number (398 009) by itself (i.e., 398 009 × 398 009); the square of 398 009 is sometimes called "raising 398 009 to the power 2", or "398 009 squared".
The square of 398 009 is 158 411 164 081 because 398 009 × 398 009 = 398 0092 = 158 411 164 081.
As a consequence, 398 009 is the square root of 158 411 164 081.
The multiples of 398 009 are all integers evenly divisible by 398 009, that is all numbers such that the remainder of the division by 398 009 is zero. There are infinitely many multiples of 398 009. The smallest multiples of 398 009 are: