823000 has 32 divisors (see below), whose sum is σ = 1928160. Its totient is φ = 328800.

The previous prime is 822989. The next prime is 823001. The reversal of 823000 is 328.

823000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823001) by changing a digit.

823000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (60255).

2⁸²³⁰⁰⁰ 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 823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964080).

823000 is an abundant number, since it is smaller than the sum of its proper divisors (1105160).

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

823000 is a wasteful number, since it uses less digits than its factorization.

823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 823000 is about 907.1934744033. The cubic root of 823000 is about 93.7130224540.

Adding to 823000 its reverse (328), we get a palindrome (823328).

The spelling of 823000 in words is "eight hundred twenty-three thousand".