82012 has 24 divisors (see below), whose sum is σ = 171360. Its totient is φ = 33600.

The previous prime is 82009. The next prime is 82013. The reversal of 82012 is 21028.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 81983 and 82001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013) 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, 762 + ... + 862.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁸²⁰¹² 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 82012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

82012 is an abundant number, since it is smaller than the sum of its proper divisors (89348).

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

82012 is a wasteful number, since it uses less digits than its factorization.

82012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 82012 is about 286.3773734079. The cubic root of 82012 is about 43.4469340136.

The spelling of 82012 in words is "eighty-two thousand, twelve".