10822829 has 12 divisors (see below), whose sum is σ = 11883924. Its totient is φ = 9821952.

The previous prime is 10822817. The next prime is 10822871. The reversal of 10822829 is 92822801.

10822829 is digitally balanced in base 3, 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 6 ways, for example, as 570025 + 10252804 = 755^2 + 3202^2 .

It is not a de Polignac number, because 10822829 - 2⁸ = 10822573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10822795 and 10822804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10822879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13919 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (990327).

Almost surely, 2^10822829 is an apocalyptic number.

It is an amenable number.

10822829 is a deficient number, since it is larger than the sum of its proper divisors (1061095).

10822829 is an equidigital number, since it uses as much as digits as its factorization.

10822829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10822829 is about 3289.8068332350. The cubic root of 10822829 is about 221.1975261515.

The spelling of 10822829 in words is "ten million, eight hundred twenty-two thousand, eight hundred twenty-nine".