85005312 has 176 divisors, whose sum is σ = 267256320. Its totient is φ = 23519232.

The previous prime is 85005307. The next prime is 85005313. The reversal of 85005312 is 21350058.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85005313) 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, 1268703 + ... + 1268769.

Almost surely, 2^85005312 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 85005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133628160).

85005312 is an abundant number, since it is smaller than the sum of its proper divisors (182251008).

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

85005312 is a wasteful number, since it uses less digits than its factorization.

85005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85005312 is about 9219.8325364401. The cubic root of 85005312 is about 439.6921262247.

The spelling of 85005312 in words is "eighty-five million, five thousand, three hundred twelve".