It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 097 801 is not a prime number.
For example, 4 097 801 can be divided by 53: 4 097 801 / 53 = 77 317.
For 4 097 801 to be a prime number, it would have been required that 4 097 801 has only two divisors, i.e., itself and 1.
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4 097 801 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 4 097 801 is about 2 024.303.
Thus, the square root of 4 097 801 is not an integer, and therefore 4 097 801 is not a square number.
The square of a number (here 4 097 801) is the result of the product of this number (4 097 801) by itself (i.e., 4 097 801 × 4 097 801); the square of 4 097 801 is sometimes called "raising 4 097 801 to the power 2", or "4 097 801 squared".
The square of 4 097 801 is 16 791 973 035 601 because 4 097 801 × 4 097 801 = 4 097 8012 = 16 791 973 035 601.
As a consequence, 4 097 801 is the square root of 16 791 973 035 601.
The multiples of 4 097 801 are all integers evenly divisible by 4 097 801, that is all numbers such that the remainder of the division by 4 097 801 is zero. There are infinitely many multiples of 4 097 801. The smallest multiples of 4 097 801 are: