56665 has 8 divisors (see below), whose sum is σ = 77760. Its totient is φ = 38832.

The previous prime is 56663. The next prime is 56671.

56665 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 56665 - 2¹ = 56663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2⁵⁶⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

56665 is a deficient number, since it is larger than the sum of its proper divisors (21095).

56665 is a wasteful number, since it uses less digits than its factorization.

56665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631.

The product of its digits is 5400, while the sum is 28.

The square root of 56665 is about 238.0441135588. The cubic root of 56665 is about 38.4094685129.

It can be divided in two parts, 5666 and 5, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 56665 in words is "fifty-six thousand, six hundred sixty-five".