85309875 has 128 divisors (see below), whose sum is σ = 189296640. Its totient is φ = 37065600.

The previous prime is 85309849. The next prime is 85309877. The reversal of 85309875 is 57890358.

It is not a de Polignac number, because 85309875 - 2⁹ = 85309363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 85309875.

It is not an unprimeable number, because it can be changed into a prime (85309877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 543297 + ... + 543453.

It is an arithmetic number, because the mean of its divisors is an integer number (1478880).

Almost surely, 2^85309875 is an apocalyptic number.

85309875 is an abundant number, since it is smaller than the sum of its proper divisors (103986765).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85309875 is a wasteful number, since it uses less digits than its factorization.

85309875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85309875 is about 9236.3345002225. The cubic root of 85309875 is about 440.2166202646.

The spelling of 85309875 in words is "eighty-five million, three hundred nine thousand, eight hundred seventy-five".