83206812 has 72 divisors (see below), whose sum is σ = 213055920. Its totient is φ = 25259520.

The previous prime is 83206793. The next prime is 83206819. The reversal of 83206812 is 21860238.

It is a self number, because there is not a number n which added to its sum of digits gives 83206812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83206819) 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, 180262 + ... + 180722.

It is an arithmetic number, because the mean of its divisors is an integer number (2959110).

Almost surely, 2^83206812 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 83206812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106527960).

83206812 is an abundant number, since it is smaller than the sum of its proper divisors (129849108).

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

83206812 is a wasteful number, since it uses less digits than its factorization.

83206812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83206812 is about 9121.7768006020. The cubic root of 83206812 is about 436.5690672716.

The spelling of 83206812 in words is "eighty-three million, two hundred six thousand, eight hundred twelve".