55916 has 12 divisors (see below), whose sum is σ = 111888. Its totient is φ = 23952.

The previous prime is 55903. The next prime is 55921. The reversal of 55916 is 61955.

55916 is an admirable number.

It is an unprimeable number.

55916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 971 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁵⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

55916 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944).

55916 is a wasteful number, since it uses less digits than its factorization.

55916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its digits is 1350, while the sum is 26.

The square root of 55916 is about 236.4656423246. The cubic root of 55916 is about 38.2394847710.

It can be divided in two parts, 559 and 16, that added together give a palindrome (575).

The spelling of 55916 in words is "fifty-five thousand, nine hundred sixteen".