56966 has 16 divisors (see below), whose sum is σ = 105504. Its totient is φ = 22464.

The previous prime is 56963. The next prime is 56983. The reversal of 56966 is 66965.

56966 = 4² + 5² + ... + 55².

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56963) 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, 26 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (6594).

2⁵⁶⁹⁶⁶ is an apocalyptic number.

56966 is a deficient number, since it is larger than the sum of its proper divisors (48538).

56966 is a wasteful number, since it uses less digits than its factorization.

56966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 9720, while the sum is 32.

The square root of 56966 is about 238.6755119404. The cubic root of 56966 is about 38.4773578003.

Subtracting 56966 from its reverse (66965), we obtain a palindrome (9999).

The spelling of 56966 in words is "fifty-six thousand, nine hundred sixty-six".