85876 has 12 divisors (see below), whose sum is σ = 171808. Its totient is φ = 36792.

The previous prime is 85853. The next prime is 85889. The reversal of 85876 is 67858.

85876 is nontrivially palindromic in base 15.

85876 is an admirable number.

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

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, 1506 + ... + 1561.

2⁸⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

85876 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (85904).

85876 is a wasteful number, since it uses less digits than its factorization.

85876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 85876 is about 293.0460714632. The cubic root of 85876 is about 44.1188248226.

It can be divided in two parts, 85 and 876, that added together give a square (961 = 31²).

The spelling of 85876 in words is "eighty-five thousand, eight hundred seventy-six".