55356 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 15792.

The previous prime is 55351. The next prime is 55373. The reversal of 55356 is 65355.

55356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55351) by changing a digit.

55356 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 7 ways as a sum of consecutive naturals, for example, 246 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁵⁵³⁵⁶ is an apocalyptic number.

It is an amenable number.

55356 is an abundant number, since it is smaller than the sum of its proper divisors (92484).

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 (73920).

55356 is a wasteful number, since it uses less digits than its factorization.

55356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 55356 is about 235.2785583091. The cubic root of 55356 is about 38.1113997893. Note that the first 3 decimals are identical.

Subtracting 55356 from its reverse (65355), we obtain a palindrome (9999).

The spelling of 55356 in words is "fifty-five thousand, three hundred fifty-six".