It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 097 897 is not a prime number.
For example, 4 097 897 can be divided by 673: 4 097 897 / 673 = 6 089.
For 4 097 897 to be a prime number, it would have been required that 4 097 897 has only two divisors, i.e., itself and 1.
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4 097 897 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 4 097 897 is about 2 024.326.
Thus, the square root of 4 097 897 is not an integer, and therefore 4 097 897 is not a square number.
The square of a number (here 4 097 897) is the result of the product of this number (4 097 897) by itself (i.e., 4 097 897 × 4 097 897); the square of 4 097 897 is sometimes called "raising 4 097 897 to the power 2", or "4 097 897 squared".
The square of 4 097 897 is 16 792 759 822 609 because 4 097 897 × 4 097 897 = 4 097 8972 = 16 792 759 822 609.
As a consequence, 4 097 897 is the square root of 16 792 759 822 609.
The multiples of 4 097 897 are all integers evenly divisible by 4 097 897, that is all numbers such that the remainder of the division by 4 097 897 is zero. There are infinitely many multiples of 4 097 897. The smallest multiples of 4 097 897 are: