85785 has 32 divisors (see below), whose sum is σ = 168960. Its totient is φ = 36288.

The previous prime is 85781. The next prime is 85793. The reversal of 85785 is 58758.

It is not a de Polignac number, because 85785 - 2² = 85781 is a prime.

85785 is an undulating number in base 7.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1974 + ... + 2016.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

2⁸⁵⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

85785 is a deficient number, since it is larger than the sum of its proper divisors (83175).

85785 is a wasteful number, since it uses less digits than its factorization.

85785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its digits is 11200, while the sum is 33.

The square root of 85785 is about 292.8907646205. The cubic root of 85785 is about 44.1032355543.

The spelling of 85785 in words is "eighty-five thousand, seven hundred eighty-five".