82212 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 23040.

The previous prime is 82207. The next prime is 82217. The reversal of 82212 is 21228.

It is an interprime number because it is at equal distance from previous prime (82207) and next prime (82217).

It is a junction number, because it is equal to n+sod(n) for n = 82191 and 82200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82217) by changing a digit.

82212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2637 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁸²²¹² 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 82212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

82212 is an abundant number, since it is smaller than the sum of its proper divisors (143580).

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

82212 is a wasteful number, since it uses less digits than its factorization.

82212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 82212 is about 286.7263503761. The cubic root of 82212 is about 43.4822228853.

The spelling of 82212 in words is "eighty-two thousand, two hundred twelve".