86085 has 12 divisors (see below), whose sum is σ = 149292. Its totient is φ = 45888.

The previous prime is 86083. The next prime is 86111. The reversal of 86085 is 58068.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 31329 = 234^2 + 177^2 .

It is not a de Polignac number, because 86085 - 2¹ = 86083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86083) 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, 912 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (12441).

2⁸⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

86085 is a deficient number, since it is larger than the sum of its proper divisors (63207).

86085 is a wasteful number, since it uses less digits than its factorization.

86085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1921 counting only the distinct ones).

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

The square root of 86085 is about 293.4024539775. The cubic root of 86085 is about 44.1545871004.

The spelling of 86085 in words is "eighty-six thousand, eighty-five".