58689 has 6 divisors (see below), whose sum is σ = 84786. Its totient is φ = 39120.

The previous prime is 58687. The next prime is 58693. The reversal of 58689 is 98685.

58689 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 1089 = 240^2 + 33^2 .

It is not a de Polignac number, because 58689 - 2¹ = 58687 is a prime.

58689 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (58687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3252 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (14131).

2⁵⁸⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

58689 is a deficient number, since it is larger than the sum of its proper divisors (26097).

58689 is a wasteful number, since it uses less digits than its factorization.

58689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6524 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 58689 is about 242.2581267987. The cubic root of 58689 is about 38.8614412519.

Subtracting from 58689 its sum of digits (36), we obtain a triangular number (58653 = T₃₄₂).

It can be divided in two parts, 58 and 689, that added together give a palindrome (747).

The spelling of 58689 in words is "fifty-eight thousand, six hundred eighty-nine".