85071312 has 60 divisors (see below), whose sum is σ = 239393284. Its totient is φ = 28200960.

The previous prime is 85071299. The next prime is 85071367. The reversal of 85071312 is 21317058.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 30074256 = 7416^2 + 5484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26262 + ... + 29322.

Almost surely, 2^85071312 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 85071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119696642).

85071312 is an abundant number, since it is smaller than the sum of its proper divisors (154321972).

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

85071312 is a wasteful number, since it uses less digits than its factorization.

85071312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85071312 is about 9223.4110826743. The cubic root of 85071312 is about 439.8058923427.

The spelling of 85071312 in words is "eighty-five million, seventy-one thousand, three hundred twelve".