85437585 has 48 divisors (see below), whose sum is σ = 161703360. Its totient is φ = 43156800.

The previous prime is 85437577. The next prime is 85437593. The reversal of 85437585 is 58573458.

It is an interprime number because it is at equal distance from previous prime (85437577) and next prime (85437593).

It is not a de Polignac number, because 85437585 - 2³ = 85437577 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 85437585.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21235 + ... + 24935.

It is an arithmetic number, because the mean of its divisors is an integer number (3368820).

Almost surely, 2^85437585 is an apocalyptic number.

It is an amenable number.

85437585 is a deficient number, since it is larger than the sum of its proper divisors (76265775).

85437585 is a wasteful number, since it uses less digits than its factorization.

85437585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3728 counting only the distinct ones).

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

The square root of 85437585 is about 9243.2453716214. The cubic root of 85437585 is about 440.4361807545.

The spelling of 85437585 in words is "eighty-five million, four hundred thirty-seven thousand, five hundred eighty-five".