85713312 has 96 divisors (see below), whose sum is σ = 235569600. Its totient is φ = 27260928.

The previous prime is 85713311. The next prime is 85713343. The reversal of 85713312 is 21331758.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85713312.

It is not an unprimeable number, because it can be changed into a prime (85713311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209364 + ... + 209772.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 2^85713312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117784800).

85713312 is an abundant number, since it is smaller than the sum of its proper divisors (149856288).

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

85713312 is a wasteful number, since it uses less digits than its factorization.

85713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 85713312 is about 9258.1484109945. The cubic root of 85713312 is about 440.9094687185.

The spelling of 85713312 in words is "eighty-five million, seven hundred thirteen thousand, three hundred twelve".