85830 has 16 divisors (see below), whose sum is σ = 206064. Its totient is φ = 22880.

The previous prime is 85829. The next prime is 85831. The reversal of 85830 is 3858.

It is an interprime number because it is at equal distance from previous prime (85829) and next prime (85831).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85831) 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, 1401 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (12879).

2⁸⁵⁸³⁰ is an apocalyptic number.

85830 is an abundant number, since it is smaller than the sum of its proper divisors (120234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103032).

85830 is a wasteful number, since it uses less digits than its factorization.

85830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85830 is about 292.9675749976. The cubic root of 85830 is about 44.1109459103.

It can be divided in two parts, 858 and 30, that added together give a palindrome (888).

The spelling of 85830 in words is "eighty-five thousand, eight hundred thirty".