53916 has 12 divisors (see below), whose sum is σ = 125832. Its totient is φ = 17968.

The previous prime is 53899. The next prime is 53917. The reversal of 53916 is 61935.

53916 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 tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53917) by changing a digit.

53916 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, 2235 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (10486).

2⁵³⁹¹⁶ is an apocalyptic number.

It is an amenable number.

53916 is an abundant number, since it is smaller than the sum of its proper divisors (71916).

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 (62916).

53916 is a wasteful number, since it uses less digits than its factorization.

53916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4498 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 53916 is about 232.1981912074. The cubic root of 53916 is about 37.7780225538.

It can be divided in two parts, 539 and 16, that added together give a palindrome (555).

The spelling of 53916 in words is "fifty-three thousand, nine hundred sixteen".