85986 has 24 divisors (see below), whose sum is σ = 197964. Its totient is φ = 26880.

The previous prime is 85933. The next prime is 85991. The reversal of 85986 is 68958.

85986 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 4761 = 285^2 + 69^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 85986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 446.

2⁸⁵⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98982).

85986 is an abundant number, since it is smaller than the sum of its proper divisors (111978).

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

85986 is a wasteful number, since it uses less digits than its factorization.

85986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 85986 is about 293.2336951989. The cubic root of 85986 is about 44.1376542979.

The spelling of 85986 in words is "eighty-five thousand, nine hundred eighty-six".