It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 1 638 401 is not a prime number.
For example, 1 638 401 can be divided by 41: 1 638 401 / 41 = 39 961.
For 1 638 401 to be a prime number, it would have been required that 1 638 401 has only two divisors, i.e., itself and 1.
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1 638 401 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 1 638 401 is about 1 280.000.
Thus, the square root of 1 638 401 is not an integer, and therefore 1 638 401 is not a square number.
The square of a number (here 1 638 401) is the result of the product of this number (1 638 401) by itself (i.e., 1 638 401 × 1 638 401); the square of 1 638 401 is sometimes called "raising 1 638 401 to the power 2", or "1 638 401 squared".
The square of 1 638 401 is 2 684 357 836 801 because 1 638 401 × 1 638 401 = 1 638 4012 = 2 684 357 836 801.
As a consequence, 1 638 401 is the square root of 2 684 357 836 801.
The multiples of 1 638 401 are all integers evenly divisible by 1 638 401, that is all numbers such that the remainder of the division by 1 638 401 is zero. There are infinitely many multiples of 1 638 401. The smallest multiples of 1 638 401 are: