10829 has 12 divisors (see below), whose sum is σ = 14364. Its totient is φ = 8064.

The previous prime is 10799. The next prime is 10831. The reversal of 10829 is 92801.

10829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4900 + 5929 = 70^2 + 77^2 .

It is not a de Polignac number, because 10829 - 2¹² = 6733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10859) 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 11 ways as a sum of consecutive naturals, for example, 629 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2¹⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

10829 is a deficient number, since it is larger than the sum of its proper divisors (3535).

10829 is a wasteful number, since it uses less digits than its factorization.

10829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10829 is about 104.0624812312. The cubic root of 10829 is about 22.1239559234.

The spelling of 10829 in words is "ten thousand, eight hundred twenty-nine".