55836 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 16560.

The previous prime is 55829. The next prime is 55837. The reversal of 55836 is 63855.

55836 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁵⁸³⁶ 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 55836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

55836 is an abundant number, since it is smaller than the sum of its proper divisors (105444).

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

55836 is a wasteful number, since it uses less digits than its factorization.

55836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55836 is about 236.2964240102. The cubic root of 55836 is about 38.2212394335.

The spelling of 55836 in words is "fifty-five thousand, eight hundred thirty-six".