85689 has 6 divisors (see below), whose sum is σ = 123786. Its totient is φ = 57120.

The previous prime is 85669. The next prime is 85691. The reversal of 85689 is 98658.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 14400 = 267^2 + 120^2 .

It is not a de Polignac number, because 85689 - 2¹¹ = 83641 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4752 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (20631).

2⁸⁵⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

85689 is a deficient number, since it is larger than the sum of its proper divisors (38097).

85689 is a wasteful number, since it uses less digits than its factorization.

85689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9524 counting only the distinct ones).

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

The square root of 85689 is about 292.7268351211. The cubic root of 85689 is about 44.0867777782.

The spelling of 85689 in words is "eighty-five thousand, six hundred eighty-nine".