85907 has 4 divisors (see below), whose sum is σ = 86496. Its totient is φ = 85320.

The previous prime is 85903. The next prime is 85909. The reversal of 85907 is 70958.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 85907 - 2² = 85903 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85907.

It is not an unprimeable number, because it can be changed into a prime (85903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (21624).

2⁸⁵⁹⁰⁷ is an apocalyptic number.

85907 is a deficient number, since it is larger than the sum of its proper divisors (589).

85907 is a wasteful number, since it uses less digits than its factorization.

85907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 85907 is about 293.0989593977. The cubic root of 85907 is about 44.1241329375.

The spelling of 85907 in words is "eighty-five thousand, nine hundred seven".