85812 has 12 divisors (see below), whose sum is σ = 200256. Its totient is φ = 28600.

The previous prime is 85793. The next prime is 85817. The reversal of 85812 is 21858.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3564 + ... + 3587.

It is an arithmetic number, because the mean of its divisors is an integer number (16688).

2⁸⁵⁸¹² is an apocalyptic number.

It is an amenable number.

85812 is an abundant number, since it is smaller than the sum of its proper divisors (114444).

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 (100128).

85812 is a wasteful number, since it uses less digits than its factorization.

85812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7156 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 85812 is about 292.9368532636. The cubic root of 85812 is about 44.1078620914.

It can be divided in two parts, 858 and 12, that multiplied together give a triangular number (10296 = T₁₄₃).

The spelling of 85812 in words is "eighty-five thousand, eight hundred twelve".