822306 has 16 divisors (see below), whose sum is σ = 1698048. Its totient is φ = 265200.

The previous prime is 822299. The next prime is 822313. The reversal of 822306 is 603228.

It is an interprime number because it is at equal distance from previous prime (822299) and next prime (822313).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822306.

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, 2025 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (106128).

2⁸²²³⁰⁶ is an apocalyptic number.

822306 is an abundant number, since it is smaller than the sum of its proper divisors (875742).

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

822306 is a wasteful number, since it uses less digits than its factorization.

822306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 822306 is about 906.8108953911. The cubic root of 822306 is about 93.6866736784.

It can be divided in two parts, 822 and 306, that added together give a triangular number (1128 = T₄₇).

The spelling of 822306 in words is "eight hundred twenty-two thousand, three hundred six".