56677 has 6 divisors (see below), whose sum is σ = 60198. Its totient is φ = 53352.

The previous prime is 56671. The next prime is 56681. The reversal of 56677 is 77665.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 12996 = 209^2 + 114^2 .

It is not a de Polignac number, because 56677 - 2¹¹ = 54629 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56671) 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, 283 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (10033).

2⁵⁶⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

56677 is a deficient number, since it is larger than the sum of its proper divisors (3521).

56677 is a wasteful number, since it uses less digits than its factorization.

56677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its digits is 8820, while the sum is 31.

The square root of 56677 is about 238.0693176367. The cubic root of 56677 is about 38.4121796579.

The spelling of 56677 in words is "fifty-six thousand, six hundred seventy-seven".