55936 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 25344.

The previous prime is 55933. The next prime is 55949. The reversal of 55936 is 63955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55931) 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, 2421 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2⁵⁵⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

55936 is an abundant number, since it is smaller than the sum of its proper divisors (66464).

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

55936 is a wasteful number, since it uses less digits than its factorization.

55936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The square root of 55936 is about 236.5079279855. The cubic root of 55936 is about 38.2440433859.

It can be divided in two parts, 559 and 36, that added together give a palindrome (595).

The spelling of 55936 in words is "fifty-five thousand, nine hundred thirty-six".