85386 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 22896.

The previous prime is 85381. The next prime is 85411. The reversal of 85386 is 68358.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85381) by changing a digit.

85386 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁵³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

85386 is an abundant number, since it is smaller than the sum of its proper divisors (121974).

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

85386 is a wasteful number, since it uses less digits than its factorization.

85386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138.

The product of its digits is 5760, while the sum is 30.

The square root of 85386 is about 292.2088294354. The cubic root of 85386 is about 44.0347521591.

It can be divided in two parts, 853 and 86, that added together give a palindrome (939).

The spelling of 85386 in words is "eighty-five thousand, three hundred eighty-six".