85875 has 16 divisors (see below), whose sum is σ = 143520. Its totient is φ = 45600.

The previous prime is 85853. The next prime is 85889. The reversal of 85875 is 57858.

It is not a de Polignac number, because 85875 - 2⁵ = 85843 is a prime.

85875 is a lucky number.

It is a congruent number.

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, 261 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (8970).

2⁸⁵⁸⁷⁵ is an apocalyptic number.

85875 is a deficient number, since it is larger than the sum of its proper divisors (57645).

85875 is a wasteful number, since it uses less digits than its factorization.

85875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 85875 is about 293.0443652419. The cubic root of 85875 is about 44.1186535718.

The spelling of 85875 in words is "eighty-five thousand, eight hundred seventy-five".