85089 has 8 divisors (see below), whose sum is σ = 114912. Its totient is φ = 56000.

The previous prime is 85087. The next prime is 85091. The reversal of 85089 is 98058.

It is an interprime number because it is at equal distance from previous prime (85087) and next prime (85091).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85089 - 2¹ = 85087 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85081) 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 7 ways as a sum of consecutive naturals, for example, 214 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁸⁵⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

85089 is a deficient number, since it is larger than the sum of its proper divisors (29823).

85089 is a wasteful number, since it uses less digits than its factorization.

85089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 85089 is about 291.7001885498. The cubic root of 85089 is about 43.9836371664.

Multiplying 85089 by its sum of digits (30), we get a triangular number (2552670 = T₂₂₅₉).

It can be divided in two parts, 850 and 89, that added together give a palindrome (939).

The spelling of 85089 in words is "eighty-five thousand, eighty-nine".