85585 has 4 divisors (see below), whose sum is σ = 102708. Its totient is φ = 68464.

The previous prime is 85577. The next prime is 85597. The reversal of 85585 is 58558.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9409 + 76176 = 97^2 + 276^2 .

It is a cyclic number.

It is not a de Polignac number, because 85585 - 2³ = 85577 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8554 + ... + 8563.

It is an arithmetic number, because the mean of its divisors is an integer number (25677).

2⁸⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

85585 is a deficient number, since it is larger than the sum of its proper divisors (17123).

85585 is a wasteful number, since it uses less digits than its factorization.

85585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17122.

The product of its digits is 8000, while the sum is 31.

The square root of 85585 is about 292.5491411712. The cubic root of 85585 is about 44.0689346437.

The spelling of 85585 in words is "eighty-five thousand, five hundred eighty-five".