52038 has 36 divisors (see below), whose sum is σ = 133380. Its totient is φ = 14616.

The previous prime is 52027. The next prime is 52051. The reversal of 52038 is 83025.

52038 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 Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 52038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 853 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2⁵²⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

52038 is an abundant number, since it is smaller than the sum of its proper divisors (81342).

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

52038 is a wasteful number, since it uses less digits than its factorization.

52038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52038 is about 228.1183903152. The cubic root of 52038 is about 37.3342013687.

The spelling of 52038 in words is "fifty-two thousand, thirty-eight".