85212 has 30 divisors (see below), whose sum is σ = 223608. Its totient is φ = 28296.

The previous prime is 85201. The next prime is 85213. The reversal of 85212 is 21258.

It is a super-2 number, since 2×85212² = 14522169888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85212.

It is not an unprimeable number, because it can be changed into a prime (85213) by changing a digit.

85212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 193 + ... + 455.

2⁸⁵²¹² 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 85212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804).

85212 is an abundant number, since it is smaller than the sum of its proper divisors (138396).

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

85212 is a wasteful number, since it uses less digits than its factorization.

85212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 85212 is about 291.9109453241. The cubic root of 85212 is about 44.0048204085.

The spelling of 85212 in words is "eighty-five thousand, two hundred twelve".