823420829 has 16 divisors (see below), whose sum is σ = 1054352256. Its totient is φ = 624283200.

The previous prime is 823420817. The next prime is 823420837. The reversal of 823420829 is 928024328.

823420829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 823420829 - 2⁸ = 823420573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 823420792 and 823420801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823420529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141662 + ... + 147359.

It is an arithmetic number, because the mean of its divisors is an integer number (65897016).

Almost surely, 2^823420829 is an apocalyptic number.

It is an amenable number.

823420829 is a deficient number, since it is larger than the sum of its proper divisors (230931427).

823420829 is a wasteful number, since it uses less digits than its factorization.

823420829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289076.

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 823420829 is about 28695.3102265858. The cubic root of 823420829 is about 937.2899265958.

The spelling of 823420829 in words is "eight hundred twenty-three million, four hundred twenty thousand, eight hundred twenty-nine".