85813 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 63360.

The previous prime is 85793. The next prime is 85817. The reversal of 85813 is 31858.

It is a cyclic number.

It is not a de Polignac number, because 85813 - 2⁵ = 85781 is a prime.

85813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2073 + ... + 2113.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

85813 is a deficient number, since it is larger than the sum of its proper divisors (27083).

85813 is a wasteful number, since it uses less digits than its factorization.

85813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 960, while the sum is 25.

The square root of 85813 is about 292.9385601112. The cubic root of 85813 is about 44.1080334260.

It can be divided in two parts, 85 and 813, that added together give a palindrome (898).

The spelling of 85813 in words is "eighty-five thousand, eight hundred thirteen".