54936 has 48 divisors (see below), whose sum is σ = 171600. Its totient is φ = 15552.

The previous prime is 54919. The next prime is 54941. The reversal of 54936 is 63945.

It is a happy number.

54936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

54936 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 11 ways as a sum of consecutive naturals, for example, 450 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (3575).

2⁵⁴⁹³⁶ is an apocalyptic number.

54936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800).

54936 is an abundant number, since it is smaller than the sum of its proper divisors (116664).

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

54936 is a wasteful number, since it uses less digits than its factorization.

54936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 54936 is about 234.3842998155. The cubic root of 54936 is about 38.0147680365.

Subtracting 54936 from its reverse (63945), we obtain a palindrome (9009).

It can be divided in two parts, 549 and 36, that added together give a palindrome (585).

The spelling of 54936 in words is "fifty-four thousand, nine hundred thirty-six".