85313634 has 64 divisors (see below), whose sum is σ = 202008576. Its totient is φ = 23514624.

The previous prime is 85313609. The next prime is 85313639. The reversal of 85313634 is 43631358.

It is a super-2 number, since 2×85313634² = 14556832292571912, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85313595 and 85313604.

It is not an unprimeable number, because it can be changed into a prime (85313639) 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, 174939 + ... + 175425.

It is an arithmetic number, because the mean of its divisors is an integer number (3156384).

Almost surely, 2^85313634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85313634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101004288).

85313634 is an abundant number, since it is smaller than the sum of its proper divisors (116694942).

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

85313634 is a wasteful number, since it uses less digits than its factorization.

85313634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639.

The product of its digits is 25920, while the sum is 33.

The square root of 85313634 is about 9236.5379877961. The cubic root of 85313634 is about 440.2230859091.

The spelling of 85313634 in words is "eighty-five million, three hundred thirteen thousand, six hundred thirty-four".