8997 has 4 divisors (see below), whose sum is σ = 12000. Its totient is φ = 5996.

The previous prime is 8971. The next prime is 8999. The reversal of 8997 is 7998.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8997 - 2⁶ = 8933 is a prime.

It is a D-number.

8997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

8997 is a deficient number, since it is larger than the sum of its proper divisors (3003).

8997 is a wasteful number, since it uses less digits than its factorization.

8997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002.

The product of its digits is 4536, while the sum is 33.

The square root of 8997 is about 94.8525170989. The cubic root of 8997 is about 20.7985267694.

Subtracting from 8997 its reverse (7998), we obtain a palindrome (999).

Multiplying 8997 by its reverse (7998), we get a triangular number (71958006 = T₁₁₉₉₆).

The spelling of 8997 in words is "eight thousand, nine hundred ninety-seven".