823500 has 96 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 216000.

The previous prime is 823499. The next prime is 823519. The reversal of 823500 is 5328.

Added to its reverse (5328) it gives a triangular number (828828 = T₁₂₈₇).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13470 + ... + 13530.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2⁸²³⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

823500 is an abundant number, since it is smaller than the sum of its proper divisors (1884660).

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

823500 is a wasteful number, since it uses less digits than its factorization.

823500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 823500 is about 907.4690077353. The cubic root of 823500 is about 93.7319965429.

Adding to 823500 its reverse (5328), we get a palindrome (828828).

The spelling of 823500 in words is "eight hundred twenty-three thousand, five hundred".