85135687 has 32 divisors (see below), whose sum is σ = 109020800. Its totient is φ = 66044160.

The previous prime is 85135681. The next prime is 85135691. The reversal of 85135687 is 78653158.

It is not a de Polignac number, because 85135687 - 2³ = 85135679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85135681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271843 + ... + 272155.

It is an arithmetic number, because the mean of its divisors is an integer number (3406900).

Almost surely, 2^85135687 is an apocalyptic number.

85135687 is a deficient number, since it is larger than the sum of its proper divisors (23885113).

85135687 is a wasteful number, since it uses less digits than its factorization.

85135687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 85135687 is about 9226.9001837020. The cubic root of 85135687 is about 439.9168007290.

The spelling of 85135687 in words is "eighty-five million, one hundred thirty-five thousand, six hundred eighty-seven".