822906 has 48 divisors (see below), whose sum is σ = 2134080. Its totient is φ = 234360.

The previous prime is 822901. The next prime is 822907. The reversal of 822906 is 609228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 822906.

It is not an unprimeable number, because it can be changed into a prime (822901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

2⁸²²⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067040).

822906 is an abundant number, since it is smaller than the sum of its proper divisors (1311174).

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

822906 is a wasteful number, since it uses less digits than its factorization.

822906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 822906 is about 907.1416647911. The cubic root of 822906 is about 93.7094544672.

It can be divided in two parts, 822 and 906, that added together give a cube (1728 = 12³).

The spelling of 822906 in words is "eight hundred twenty-two thousand, nine hundred six".