5665 has 8 divisors (see below), whose sum is σ = 7488. Its totient is φ = 4080.

The previous prime is 5659. The next prime is 5669.

5665 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5665 - 2³ = 5657 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁵⁶⁶⁵ is an apocalyptic number.

5665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5665 is a deficient number, since it is larger than the sum of its proper divisors (1823).

5665 is a wasteful number, since it uses less digits than its factorization.

5665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its digits is 900, while the sum is 22.

The square root of 5665 is about 75.2661942707. The cubic root of 5665 is about 17.8265227631.

It can be divided in two parts, 56 and 65, that added together give a palindrome (121).

The spelling of 5665 in words is "five thousand, six hundred sixty-five".