56007 has 18 divisors (see below), whose sum is σ = 94848. Its totient is φ = 31752.

The previous prime is 56003. The next prime is 56009. The reversal of 56007 is 70065.

It is not a de Polignac number, because 56007 - 2² = 56003 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 378 + ... + 504.

2⁵⁶⁰⁰⁷ is an apocalyptic number.

56007 is a deficient number, since it is larger than the sum of its proper divisors (38841).

56007 is a wasteful number, since it uses less digits than its factorization.

56007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 56007 is about 236.6579810613. The cubic root of 56007 is about 38.2602176984.

The spelling of 56007 in words is "fifty-six thousand, seven".