823504 has 20 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 374240.

The previous prime is 823499. The next prime is 823519. The reversal of 823504 is 405328.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 2164 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2⁸²³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

823504 is an abundant number, since it is smaller than the sum of its proper divisors (917456).

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

823504 is a wasteful number, since it uses less digits than its factorization.

823504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 823504 is about 907.4712116646. The cubic root of 823504 is about 93.7321483046.

Adding to 823504 its product of nonzero digits (960), we get a square (824464 = 908²).

The spelling of 823504 in words is "eight hundred twenty-three thousand, five hundred four".