85285107 has 24 divisors (see below), whose sum is σ = 131751360. Its totient is φ = 52972800.

The previous prime is 85285049. The next prime is 85285121. The reversal of 85285107 is 70158258.

It is a de Polignac number, because none of the positive numbers 2^k-85285107 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85285147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12694 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (5489640).

Almost surely, 2^85285107 is an apocalyptic number.

85285107 is a deficient number, since it is larger than the sum of its proper divisors (46466253).

85285107 is a wasteful number, since it uses less digits than its factorization.

85285107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85285107 is about 9234.9936112593. The cubic root of 85285107 is about 440.1740134715.

The spelling of 85285107 in words is "eighty-five million, two hundred eighty-five thousand, one hundred seven".