8997

8997 is a natural number that follows 8996 and precedes 8998. It is an odd composite number.

Its prime factorization is 8997 = 3 × 2999, where 2999 is prime. Thus 8997 has exactly four positive divisors: 1, 3, 2999, and 8997.

Because it has a prime factor congruent to 3 mod 4 (2999 ≡ 3 mod 4) with odd exponent, 8997 cannot be expressed as a sum of two squares.

Digit properties: sum of digits is 33; 8997 is divisible by 3 but not by 9. It is not divisible by 5.

It is not a perfect square or cube.

In number theory, 8997 is sometimes cited as an example of a product of two primes where one prime is 3 mod 4, illustrating constraints on representations as sums of two squares.