822833 has 16 divisors (see below), whose sum is σ = 983040. Its totient is φ = 680400.

The previous prime is 822823. The next prime is 822839. The reversal of 822833 is 338228.

It is a cyclic number.

It is not a de Polignac number, because 822833 - 2¹⁰ = 821809 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6416 + ... + 6542.

It is an arithmetic number, because the mean of its divisors is an integer number (61440).

2⁸²²⁸³³ is an apocalyptic number.

It is an amenable number.

822833 is a deficient number, since it is larger than the sum of its proper divisors (160207).

822833 is a wasteful number, since it uses less digits than its factorization.

822833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 2304, while the sum is 26.

The square root of 822833 is about 907.1014276254. The cubic root of 822833 is about 93.7066833963.

The spelling of 822833 in words is "eight hundred twenty-two thousand, eight hundred thirty-three".