85792 has 24 divisors (see below), whose sum is σ = 193536. Its totient is φ = 36672.

The previous prime is 85781. The next prime is 85793. The reversal of 85792 is 29758.

85792 is nontrivially palindromic in base 3.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁸⁵⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

85792 is an abundant number, since it is smaller than the sum of its proper divisors (107744).

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

85792 is a wasteful number, since it uses less digits than its factorization.

85792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 85792 is about 292.9027142244. The cubic root of 85792 is about 44.1044351201.

It can be divided in two parts, 857 and 92, that added together give a palindrome (949).

The spelling of 85792 in words is "eighty-five thousand, seven hundred ninety-two".