56967 has 8 divisors (see below), whose sum is σ = 80496. Its totient is φ = 35712.

The previous prime is 56963. The next prime is 56983. The reversal of 56967 is 76965.

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

It is not a de Polignac number, because 56967 - 2² = 56963 is a prime.

It is a d-powerful number, because it can be written as 5³ + 6⁵ + 9 + 6⁶ + 7⁴ .

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

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, 508 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (10062).

2⁵⁶⁹⁶⁷ is an apocalyptic number.

56967 is a deficient number, since it is larger than the sum of its proper divisors (23529).

56967 is a wasteful number, since it uses less digits than its factorization.

56967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137.

The product of its digits is 11340, while the sum is 33.

The square root of 56967 is about 238.6776068256. The cubic root of 56967 is about 38.4775829470.

It can be divided in two parts, 569 and 67, that added together give a palindrome (636).

The spelling of 56967 in words is "fifty-six thousand, nine hundred sixty-seven".