85584375 has 72 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 42720000.

The previous prime is 85584349. The next prime is 85584377. The reversal of 85584375 is 57348558.

It is not a de Polignac number, because 85584375 - 2⁸ = 85584119 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85584375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85584377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478036 + ... + 478214.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^85584375 is an apocalyptic number.

85584375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85584375 is a deficient number, since it is larger than the sum of its proper divisors (78936345).

85584375 is a wasteful number, since it uses less digits than its factorization.

85584375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 85584375 is about 9251.1823568666. The cubic root of 85584375 is about 440.6882736960.

The spelling of 85584375 in words is "eighty-five million, five hundred eighty-four thousand, three hundred seventy-five".