56965 has 4 divisors (see below), whose sum is σ = 68364. Its totient is φ = 45568.

The previous prime is 56963. The next prime is 56983.

It is a happy number.

56965 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31684 + 25281 = 178^2 + 159^2 .

It is a cyclic number.

It is not a de Polignac number, because 56965 - 2¹ = 56963 is a prime.

It is a super-2 number, since 2×56965² = 6490022450, which contains 22 as substring.

It is an Ulam number.

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

It is a Duffinian 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 3 ways as a sum of consecutive naturals, for example, 5692 + ... + 5701.

It is an arithmetic number, because the mean of its divisors is an integer number (17091).

2⁵⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

56965 is a deficient number, since it is larger than the sum of its proper divisors (11399).

56965 is a wasteful number, since it uses less digits than its factorization.

56965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398.

The product of its digits is 8100, while the sum is 31.

The square root of 56965 is about 238.6734170368. The cubic root of 56965 is about 38.4771326509.

The spelling of 56965 in words is "fifty-six thousand, nine hundred sixty-five".