85086 has 24 divisors (see below), whose sum is σ = 191880. Its totient is φ = 27216.

The previous prime is 85081. The next prime is 85087. The reversal of 85086 is 68058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (7995).

2⁸⁵⁰⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95940).

85086 is an abundant number, since it is smaller than the sum of its proper divisors (106794).

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

85086 is a wasteful number, since it uses less digits than its factorization.

85086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85086 is about 291.6950462384. The cubic root of 85086 is about 43.9831202470.

The spelling of 85086 in words is "eighty-five thousand, eighty-six".