85307352 has 64 divisors (see below), whose sum is σ = 232968960. Its totient is φ = 25872000.

The previous prime is 85307323. The next prime is 85307353. The reversal of 85307352 is 25370358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85307353) 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, 20227 + ... + 24077.

It is an arithmetic number, because the mean of its divisors is an integer number (3640140).

Almost surely, 2^85307352 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 85307352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484480).

85307352 is an abundant number, since it is smaller than the sum of its proper divisors (147661608).

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

85307352 is a wasteful number, since it uses less digits than its factorization.

85307352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 85307352 is about 9236.1979190574. The cubic root of 85307352 is about 440.2122804877.

The spelling of 85307352 in words is "eighty-five million, three hundred seven thousand, three hundred fifty-two".