82182012 has 96 divisors (see below), whose sum is σ = 226001664. Its totient is φ = 22963200.

The previous prime is 82182007. The next prime is 82182017. The reversal of 82182012 is 21028128.

It is an interprime number because it is at equal distance from previous prime (82182007) and next prime (82182017).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82182017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118587 + ... + 119277.

It is an arithmetic number, because the mean of its divisors is an integer number (2354184).

Almost surely, 2^82182012 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 82182012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113000832).

82182012 is an abundant number, since it is smaller than the sum of its proper divisors (143819652).

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

82182012 is a wasteful number, since it uses less digits than its factorization.

82182012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 82182012 is about 9065.4294989261. The cubic root of 82182012 is about 434.7693532196.

The spelling of 82182012 in words is "eighty-two million, one hundred eighty-two thousand, twelve".