85782 has 24 divisors (see below), whose sum is σ = 188136. Its totient is φ = 25984.

The previous prime is 85781. The next prime is 85793. The reversal of 85782 is 28758.

Its product of digits (4480) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85782.

It is not an unprimeable number, because it can be changed into a prime (85781) 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, 2944 + ... + 2972.

It is an arithmetic number, because the mean of its divisors is an integer number (7839).

2⁸⁵⁷⁸² is an apocalyptic number.

85782 is an abundant number, since it is smaller than the sum of its proper divisors (102354).

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 (94068).

85782 is a wasteful number, since it uses less digits than its factorization.

85782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 85782 is about 292.8856432125. The cubic root of 85782 is about 44.1027214347.

It can be divided in two parts, 857 and 82, that added together give a palindrome (939).

The spelling of 85782 in words is "eighty-five thousand, seven hundred eighty-two".