822305 has 8 divisors (see below), whose sum is σ = 1076544. Its totient is φ = 598000.

The previous prime is 822299. The next prime is 822313. The reversal of 822305 is 503228.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 822305 - 2⁸ = 822049 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 7421 + ... + 7530.

It is an arithmetic number, because the mean of its divisors is an integer number (134568).

2⁸²²³⁰⁵ is an apocalyptic number.

It is an amenable number.

822305 is a deficient number, since it is larger than the sum of its proper divisors (254239).

822305 is a wasteful number, since it uses less digits than its factorization.

822305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 822305 is about 906.8103440081. The cubic root of 822305 is about 93.6866357011.

The spelling of 822305 in words is "eight hundred twenty-two thousand, three hundred five".