822816 has 36 divisors (see below), whose sum is σ = 2340702. Its totient is φ = 274176.

The previous prime is 822803. The next prime is 822821. The reversal of 822816 is 618228.

822816 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 646416 + 176400 = 804^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 822816.

It is an unprimeable number.

822816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1141 + ... + 1716.

2⁸²²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

822816 is an abundant number, since it is smaller than the sum of its proper divisors (1517886).

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

822816 is a wasteful number, since it uses less digits than its factorization.

822816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2862 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 822816 is about 907.0920570703. The cubic root of 822816 is about 93.7060380549.

The spelling of 822816 in words is "eight hundred twenty-two thousand, eight hundred sixteen".