56627 has 4 divisors (see below), whose sum is σ = 59976. Its totient is φ = 53280.

The previous prime is 56611. The next prime is 56629. The reversal of 56627 is 72665.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72665 = 5 ⋅14533.

It is a cyclic number.

It is not a de Polignac number, because 56627 - 2⁴ = 56611 is a prime.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 56596 and 56605.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56627.

It is not an unprimeable number, because it can be changed into a prime (56629) 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, 1649 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2⁵⁶⁶²⁷ is an apocalyptic number.

56627 is a deficient number, since it is larger than the sum of its proper divisors (3349).

56627 is a wasteful number, since it uses less digits than its factorization.

56627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348.

The product of its digits is 2520, while the sum is 26.

The square root of 56627 is about 237.9642830342. The cubic root of 56627 is about 38.4008806945.

The spelling of 56627 in words is "fifty-six thousand, six hundred twenty-seven".