It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 398 401 is not a prime number.
For example, 398 401 can be divided by 53: 398 401 / 53 = 7 517.
For 398 401 to be a prime number, it would have been required that 398 401 has only two divisors, i.e., itself and 1.
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398 401 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 398 401 is about 631.190.
Thus, the square root of 398 401 is not an integer, and therefore 398 401 is not a square number.
The square of a number (here 398 401) is the result of the product of this number (398 401) by itself (i.e., 398 401 × 398 401); the square of 398 401 is sometimes called "raising 398 401 to the power 2", or "398 401 squared".
The square of 398 401 is 158 723 356 801 because 398 401 × 398 401 = 398 4012 = 158 723 356 801.
As a consequence, 398 401 is the square root of 158 723 356 801.
The multiples of 398 401 are all integers evenly divisible by 398 401, that is all numbers such that the remainder of the division by 398 401 is zero. There are infinitely many multiples of 398 401. The smallest multiples of 398 401 are: