821082912 has 96 divisors (see below), whose sum is σ = 2335169088. Its totient is φ = 251114496.

The previous prime is 821082883. The next prime is 821082931. The reversal of 821082912 is 219280128.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214003 + ... + 217805.

It is an arithmetic number, because the mean of its divisors is an integer number (24324678).

Almost surely, 2^821082912 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 821082912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167584544).

821082912 is an abundant number, since it is smaller than the sum of its proper divisors (1514086176).

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

821082912 is a wasteful number, since it uses less digits than its factorization.

821082912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 821082912 is about 28654.5443516382. The cubic root of 821082912 is about 936.4020115470.

The spelling of 821082912 in words is "eight hundred twenty-one million, eighty-two thousand, nine hundred twelve".