7997 has 4 divisors (see below), whose sum is σ = 8736. Its totient is φ = 7260.

The previous prime is 7993. The next prime is 8009.

7997 is nontrivially palindromic in base 4 and base 10.

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 not a de Polignac number, because 7997 - 2² = 7993 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993) 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, 353 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

7997 is a deficient number, since it is larger than the sum of its proper divisors (739).

7997 is a wasteful number, since it uses less digits than its factorization.

7997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its digits is 3969, while the sum is 32.

The square root of 7997 is about 89.4259470176. The cubic root of 7997 is about 19.9974996874.

The spelling of 7997 in words is "seven thousand, nine hundred ninety-seven".