85537312 has 48 divisors (see below), whose sum is σ = 195132672. Its totient is φ = 36149760.

The previous prime is 85537307. The next prime is 85537349. The reversal of 85537312 is 21373558.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13737 + ... + 18967.

It is an arithmetic number, because the mean of its divisors is an integer number (4065264).

Almost surely, 2^85537312 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 85537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97566336).

85537312 is an abundant number, since it is smaller than the sum of its proper divisors (109595360).

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

85537312 is a wasteful number, since it uses less digits than its factorization.

85537312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5313 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 85537312 is about 9248.6383862707. The cubic root of 85537312 is about 440.6074804630.

It can be divided in two parts, 85537 and 312, that added together give a square (85849 = 293²).

The spelling of 85537312 in words is "eighty-five million, five hundred thirty-seven thousand, three hundred twelve".