85807 has 4 divisors (see below), whose sum is σ = 87480. Its totient is φ = 84136.

The previous prime is 85793. The next prime is 85817. The reversal of 85807 is 70858.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85807 is a prime.

It is a Duffinian number.

85807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85817) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 757 + ... + 862.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2⁸⁵⁸⁰⁷ is an apocalyptic number.

85807 is a deficient number, since it is larger than the sum of its proper divisors (1673).

85807 is a wasteful number, since it uses less digits than its factorization.

85807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 85807 is about 292.9283188768. The cubic root of 85807 is about 44.1070053985.

The spelling of 85807 in words is "eighty-five thousand, eight hundred seven".