85885 has 8 divisors (see below), whose sum is σ = 104760. Its totient is φ = 67584.

The previous prime is 85853. The next prime is 85889. The reversal of 85885 is 58858.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 85849 = 6^2 + 293^2 .

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 85885 - 2⁵ = 85853 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85889) 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, 349 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (13095).

2⁸⁵⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

85885 is a deficient number, since it is larger than the sum of its proper divisors (18875).

85885 is a wasteful number, since it uses less digits than its factorization.

85885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 12800, while the sum is 34.

The square root of 85885 is about 293.0614270081. The cubic root of 85885 is about 44.1203660198.

The spelling of 85885 in words is "eighty-five thousand, eight hundred eighty-five".