52065 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 25344.

The previous prime is 52057. The next prime is 52067. The reversal of 52065 is 56025.

52065 = 9³ + 10³ + ... + 21³.

52065 is nontrivially palindromic in base 8.

52065 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 can be written as a sum of positive squares in 4 ways, for example, as 81 + 51984 = 9^2 + 228^2 .

It is not a de Polignac number, because 52065 - 2³ = 52057 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁵²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

52065 is a deficient number, since it is larger than the sum of its proper divisors (46215).

52065 is a wasteful number, since it uses less digits than its factorization.

52065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52065 is about 228.1775624377. The cubic root of 52065 is about 37.3406572224.

It can be divided in two parts, 520 and 65, that added together give a palindrome (585).

The spelling of 52065 in words is "fifty-two thousand, sixty-five".