85692 has 24 divisors (see below), whose sum is σ = 206416. Its totient is φ = 27648.

The previous prime is 85691. The next prime is 85703. The reversal of 85692 is 29658.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 540.

2⁸⁵⁶⁹² is an apocalyptic number.

It is an amenable number.

85692 is an abundant number, since it is smaller than the sum of its proper divisors (120724).

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 (103208).

85692 is a wasteful number, since it uses less digits than its factorization.

85692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 85692 is about 292.7319593075. The cubic root of 85692 is about 44.0872922698.

It can be divided in two parts, 85 and 692, that added together give a palindrome (777).

The spelling of 85692 in words is "eighty-five thousand, six hundred ninety-two".