822304 has 24 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 352320.

The previous prime is 822299. The next prime is 822313. The reversal of 822304 is 403228.

It is a happy number.

It is an unprimeable number.

822304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1612 + ... + 2059.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

2⁸²²³⁰⁴ is an apocalyptic number.

It is an amenable number.

822304 is an abundant number, since it is smaller than the sum of its proper divisors (1028384).

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

822304 is a wasteful number, since it uses less digits than its factorization.

822304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 822304 is about 906.8097926247. The cubic root of 822304 is about 93.6865977239.

The spelling of 822304 in words is "eight hundred twenty-two thousand, three hundred four".