52024 has 16 divisors (see below), whose sum is σ = 111600. Its totient is φ = 22272.

The previous prime is 52021. The next prime is 52027. The reversal of 52024 is 42025.

It is a happy number.

52024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52021) and next prime (52027).

It is a super-3 number, since 3×52024³ = 422408333609472, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51995 and 52013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

2⁵²⁰²⁴ is an apocalyptic number.

It is an amenable number.

52024 is an abundant number, since it is smaller than the sum of its proper divisors (59576).

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 (55800).

52024 is a wasteful number, since it uses less digits than its factorization.

52024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 52024 is about 228.0877024304. The cubic root of 52024 is about 37.3308530098.

Adding to 52024 its reverse (42025), we get a palindrome (94049).

Subtracting from 52024 its reverse (42025), we obtain a palindrome (9999).

The spelling of 52024 in words is "fifty-two thousand, twenty-four".