85512 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 24384.

The previous prime is 85487. The next prime is 85513. The reversal of 85512 is 21558.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (85513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2⁸⁵⁵¹² is an apocalyptic number.

It is an amenable number.

85512 is an abundant number, since it is smaller than the sum of its proper divisors (159288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

85512 is a wasteful number, since it uses less digits than its factorization.

85512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 85512 is about 292.4243491914. The cubic root of 85512 is about 44.0564014999.

Subtracting from 85512 its sum of digits (21), we obtain a triangular number (85491 = T₄₁₃).

The spelling of 85512 in words is "eighty-five thousand, five hundred twelve".