253797

253797 is a number that belongs to the set of natural numbers. It is an odd number, meaning it is not divisible by 2. The number 253797 can be expressed in the form of n/1, where n is a natural number. It is a prime number, meaning it has exactly two distinct natural number divisors: 1 and itself.

The number 253797 is not a perfect square, as the square root of 253797 is not an integer. It is also not a perfect cube, as the cube root of 253797 is not an integer. However, it can be expressed as a sum of two squares, 182^2 + 175^2, indicating that it is a sum of two squares.

In number theory, 253797 is notable for being a prime number that is not a Mersenne prime, as it does not fit the form 2^p - 1 for any prime p. It is also not a Fermat prime, as it does not fit the form 2^(2^n) + 1 for any non-negative integer n.

The number 253797 does not have any known special mathematical properties or applications beyond its status as a prime number. It is simply one of the many prime numbers that exist within the set of natural numbers.