85887 has 8 divisors (see below), whose sum is σ = 127280. Its totient is φ = 57240.

The previous prime is 85853. The next prime is 85889. The reversal of 85887 is 78858.

It is a de Polignac number, because none of the positive numbers 2^k-85887 is a prime.

It is a Duffinian 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 85887.

It is not an unprimeable number, because it can be changed into a prime (85889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1564 + ... + 1617.

It is an arithmetic number, because the mean of its divisors is an integer number (15910).

2⁸⁵⁸⁸⁷ is an apocalyptic number.

85887 is a deficient number, since it is larger than the sum of its proper divisors (41393).

85887 is a wasteful number, since it uses less digits than its factorization.

85887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3184 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 85887 is about 293.0648392421. The cubic root of 85887 is about 44.1207084934.

The spelling of 85887 in words is "eighty-five thousand, eight hundred eighty-seven".