822825216 has 126 divisors (see below), whose sum is σ = 2463086430. Its totient is φ = 274212864.

The previous prime is 822825197. The next prime is 822825217. The reversal of 822825216 is 612528228.

It can be written as a sum of positive squares in only one way, i.e., 524226816 + 298598400 = 22896^2 + 17280^2 .

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 (822825217) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 184420 + ... + 188828.

It is an arithmetic number, because the mean of its divisors is an integer number (19548305).

Almost surely, 2^822825216 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 822825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231543215).

822825216 is an abundant number, since it is smaller than the sum of its proper divisors (1640261214).

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

822825216 is an frugal number, since it uses more digits than its factorization.

822825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4414 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 822825216 is about 28684.9301201868. The cubic root of 822825216 is about 937.0638790699.

The spelling of 822825216 in words is "eight hundred twenty-two million, eight hundred twenty-five thousand, two hundred sixteen".