52845 has 16 divisors (see below), whose sum is σ = 91392. Its totient is φ = 25920.

The previous prime is 52837. The next prime is 52859. The reversal of 52845 is 54825.

It is not a de Polignac number, because 52845 - 2³ = 52837 is a prime.

It is a Curzon number.

52845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2⁵²⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

52845 is a deficient number, since it is larger than the sum of its proper divisors (38547).

52845 is a wasteful number, since it uses less digits than its factorization.

52845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its digits is 1600, while the sum is 24.

The square root of 52845 is about 229.8804036885. The cubic root of 52845 is about 37.5262039074.

Adding to 52845 its product of digits (1600), we get a palindrome (54445).

It can be divided in two parts, 5 and 2845, that added together give a triangular number (2850 = T₇₅).

The spelling of 52845 in words is "fifty-two thousand, eight hundred forty-five".