85591 has 8 divisors (see below), whose sum is σ = 96768. Its totient is φ = 75000.

The previous prime is 85577. The next prime is 85597. The reversal of 85591 is 19558.

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

It is a 5-Lehmer number, since φ(85591) divides (85591-1)⁵.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85591 is a prime.

It is a Duffinian number.

85591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2⁸⁵⁵⁹¹ is an apocalyptic number.

85591 is a deficient number, since it is larger than the sum of its proper divisors (11177).

85591 is a wasteful number, since it uses less digits than its factorization.

85591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its digits is 1800, while the sum is 28.

The square root of 85591 is about 292.5593956789. The cubic root of 85591 is about 44.0699644481.

It can be divided in two parts, 855 and 91, that added together give a triangular number (946 = T₄₃).

The spelling of 85591 in words is "eighty-five thousand, five hundred ninety-one".