52689 has 16 divisors (see below), whose sum is σ = 86912. Its totient is φ = 27648.

The previous prime is 52673. The next prime is 52691. The reversal of 52689 is 98625.

It is not a de Polignac number, because 52689 - 2⁴ = 52673 is a prime.

It is a super-2 number, since 2×52689² = 5552261442, which contains 22 as substring.

Its product of digits (4320) is a multiple of the sum of its prime divisors (216).

It is a Curzon number.

52689 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (5432).

2⁵²⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

52689 is a deficient number, since it is larger than the sum of its proper divisors (34223).

52689 is a wasteful number, since it uses less digits than its factorization.

52689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 4320, while the sum is 30.

The square root of 52689 is about 229.5408460383. The cubic root of 52689 is about 37.4892413581.

It can be divided in two parts, 52 and 689, that added together give a triangular number (741 = T₃₈).

The spelling of 52689 in words is "fifty-two thousand, six hundred eighty-nine".