829107649 has 2 divisors, whose sum is σ = 829107650. Its totient is φ = 829107648.

The previous prime is 829107637. The next prime is 829107743. The reversal of 829107649 is 946701928.

829107649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 439321600 + 389786049 = 20960^2 + 19743^2 .

It is a cyclic number.

It is not a de Polignac number, because 829107649 - 2¹¹ = 829105601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829107599 and 829107608.

It is not a weakly prime, because it can be changed into another prime (829107949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414553824 + 414553825.

It is an arithmetic number, because the mean of its divisors is an integer number (414553825).

Almost surely, 2^829107649 is an apocalyptic number.

It is an amenable number.

829107649 is a deficient number, since it is larger than the sum of its proper divisors (1).

829107649 is an equidigital number, since it uses as much as digits as its factorization.

829107649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 829107649 is about 28794.2294392470. The cubic root of 829107649 is about 939.4427242358.

The spelling of 829107649 in words is "eight hundred twenty-nine million, one hundred seven thousand, six hundred forty-nine".