10823 has 4 divisors (see below), whose sum is σ = 11040. Its totient is φ = 10608.

The previous prime is 10799. The next prime is 10831. The reversal of 10823 is 32801.

10823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10823 - 2⁸ = 10567 is a prime.

It is a super-3 number, since 3×10823³ = 3803331935301, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10798 and 10807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10853) by changing a digit.

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, 11 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (2760).

2¹⁰⁸²³ is an apocalyptic number.

10823 is a deficient number, since it is larger than the sum of its proper divisors (217).

10823 is an equidigital number, since it uses as much as digits as its factorization.

10823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10823 is about 104.0336484028. The cubic root of 10823 is about 22.1198691114.

It can be divided in two parts, 108 and 23, that added together give a palindrome (131).

The spelling of 10823 in words is "ten thousand, eight hundred twenty-three".