52037 has 4 divisors (see below), whose sum is σ = 55116. Its totient is φ = 48960.

The previous prime is 52027. The next prime is 52051. The reversal of 52037 is 73025.

52037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 6241 = 214^2 + 79^2 .

It is not a de Polignac number, because 52037 - 2⁴ = 52021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 3061 = 52037 / (5 + 2 + 0 + 3 + 7).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52037.

It is not an unprimeable number, because it can be changed into a prime (52027) 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, 1514 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (13779).

2⁵²⁰³⁷ is an apocalyptic number.

It is an amenable number.

52037 is a deficient number, since it is larger than the sum of its proper divisors (3079).

52037 is a wasteful number, since it uses less digits than its factorization.

52037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 52037 is about 228.1161984603. The cubic root of 52037 is about 37.3339622201. Note that the first 3 decimals are identical.

The spelling of 52037 in words is "fifty-two thousand, thirty-seven".