83284812 has 72 divisors (see below), whose sum is σ = 227944080. Its totient is φ = 25488000.

The previous prime is 83284811. The next prime is 83284823. The reversal of 83284812 is 21848238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83284811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117114 + ... + 117822.

It is an arithmetic number, because the mean of its divisors is an integer number (3165890).

Almost surely, 2^83284812 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 83284812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113972040).

83284812 is an abundant number, since it is smaller than the sum of its proper divisors (144659268).

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

83284812 is a wasteful number, since it uses less digits than its factorization.

83284812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 83284812 is about 9126.0512819072. The cubic root of 83284812 is about 436.7054413315.

The spelling of 83284812 in words is "eighty-three million, two hundred eighty-four thousand, eight hundred twelve".