53124 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 16704.

The previous prime is 53117. The next prime is 53129. The reversal of 53124 is 42135.

53124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁵³¹²⁴ 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 53124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

53124 is an abundant number, since it is smaller than the sum of its proper divisors (77916).

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

53124 is a wasteful number, since it uses less digits than its factorization.

53124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 53124 is about 230.4864421175. The cubic root of 53124 is about 37.5921290300.

Adding to 53124 its reverse (42135), we get a palindrome (95259).

It can be divided in two parts, 531 and 24, that added together give a palindrome (555).

The spelling of 53124 in words is "fifty-three thousand, one hundred twenty-four".