823224 has 16 divisors (see below), whose sum is σ = 2058120. Its totient is φ = 274400.

The previous prime is 823219. The next prime is 823231. The reversal of 823224 is 422328.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 823224.

It is a congruent number.

It is an unprimeable number.

823224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 17127 + ... + 17174.

2⁸²³²²⁴ is an apocalyptic number.

It is an amenable number.

823224 is an abundant number, since it is smaller than the sum of its proper divisors (1234896).

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

823224 is a wasteful number, since it uses less digits than its factorization.

823224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310 (or 34306 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 823224 is about 907.3169236821. The cubic root of 823224 is about 93.7215237958.

It can be divided in two parts, 8232 and 24, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 823224 in words is "eight hundred twenty-three thousand, two hundred twenty-four".