8753

8753 is a natural number that follows 8752 and precedes 8754. In decimal notation it is a four-digit, odd integer and it is a prime number, meaning its only positive divisors are 1 and itself.

As a prime congruent to 1 modulo 4, 8753 can be expressed as a sum of two squares. One such representation is 8753 = 92^2 + 17^2. The number is also congruent to 1 modulo 8, since 8753 = 8·1094 + 1.

In other common bases, 8753 is written as binary 10001000110001, hexadecimal 0x2231, and octal 21061. Its digit sum is 23, so it is not divisible by 3 or 9; its last digit being 3 confirms it is not divisible by 5. Its primality implies that its only divisors are 1 and 8753.

There are no widely known cultural or historical uses tied specifically to the number 8753; it is primarily of interest in the context of number theory as a prime with the sum-of-squares representation 92^2 + 17^2.