85877 has 8 divisors (see below), whose sum is σ = 96672. Its totient is φ = 75600.

The previous prime is 85853. The next prime is 85889. The reversal of 85877 is 77858.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85877 - 2⁸ = 85621 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 85877.

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 7 ways as a sum of consecutive naturals, for example, 302 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (12084).

2⁸⁵⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

85877 is a deficient number, since it is larger than the sum of its proper divisors (10795).

85877 is a wasteful number, since it uses less digits than its factorization.

85877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 15680, while the sum is 35.

The square root of 85877 is about 293.0477776746. The cubic root of 85877 is about 44.1189960720.

It can be divided in two parts, 858 and 77, that multiplied together give a palindrome (66066).

The spelling of 85877 in words is "eighty-five thousand, eight hundred seventy-seven".