56961 has 6 divisors (see below), whose sum is σ = 82290. Its totient is φ = 37968.

The previous prime is 56957. The next prime is 56963. The reversal of 56961 is 16965.

56961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 3600 = 231^2 + 60^2 .

It is not a de Polignac number, because 56961 - 2² = 56957 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56961.

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 5 ways as a sum of consecutive naturals, for example, 3156 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (13715).

2⁵⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

56961 is a deficient number, since it is larger than the sum of its proper divisors (25329).

56961 is a wasteful number, since it uses less digits than its factorization.

56961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6332 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 56961 is about 238.6650372384. The cubic root of 56961 is about 38.4762320269.

It can be divided in two parts, 569 and 61, that added together give a triangular number (630 = T₃₅).

The spelling of 56961 in words is "fifty-six thousand, nine hundred sixty-one".