822981852 has 288 divisors, whose sum is σ = 2715148800. Its totient is φ = 208293120.

The previous prime is 822981847. The next prime is 822981857. The reversal of 822981852 is 258189228.

822981852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (822981847) and next prime (822981857).

It is a junction number, because it is equal to n+sod(n) for n = 822981798 and 822981807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822981857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9915403 + ... + 9915485.

It is an arithmetic number, because the mean of its divisors is an integer number (9427600).

Almost surely, 2^822981852 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 822981852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357574400).

822981852 is an abundant number, since it is smaller than the sum of its proper divisors (1892166948).

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

822981852 is a wasteful number, since it uses less digits than its factorization.

822981852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 822981852 is about 28687.6602740621. The cubic root of 822981852 is about 937.1233362597.

The spelling of 822981852 in words is "eight hundred twenty-two million, nine hundred eighty-one thousand, eight hundred fifty-two".