85245312 has 64 divisors (see below), whose sum is σ = 229610160. Its totient is φ = 28016640.

The previous prime is 85245311. The next prime is 85245331. The reversal of 85245312 is 21354258.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 85245312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85245311) 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 7 ways as a sum of consecutive naturals, for example, 26512 + ... + 29552.

Almost surely, 2^85245312 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 85245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114805080).

85245312 is an abundant number, since it is smaller than the sum of its proper divisors (144364848).

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

85245312 is a wasteful number, since it uses less digits than its factorization.

85245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3119 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 85245312 is about 9232.8387833862. The cubic root of 85245312 is about 440.1055394213.

It can be divided in two parts, 852 and 45312, that added together give a palindrome (46164).

The spelling of 85245312 in words is "eighty-five million, two hundred forty-five thousand, three hundred twelve".