85965 has 16 divisors (see below), whose sum is σ = 150336. Its totient is φ = 41600.

The previous prime is 85933. The next prime is 85991. The reversal of 85965 is 56958.

It is not a de Polignac number, because 85965 - 2⁵ = 85933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (10800) is a multiple of the sum of its prime divisors (540).

85965 is a lucky number.

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 85965.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (9396).

2⁸⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

85965 is a deficient number, since it is larger than the sum of its proper divisors (64371).

85965 is a wasteful number, since it uses less digits than its factorization.

85965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its digits is 10800, while the sum is 33.

The square root of 85965 is about 293.1978853948. The cubic root of 85965 is about 44.1340608207.

The spelling of 85965 in words is "eighty-five thousand, nine hundred sixty-five".