829792349 has 2 divisors, whose sum is σ = 829792350. Its totient is φ = 829792348.

The previous prime is 829792319. The next prime is 829792351. The reversal of 829792349 is 943297928.

829792349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443944900 + 385847449 = 21070^2 + 19643^2 .

It is a cyclic number.

It is not a de Polignac number, because 829792349 - 2²⁸ = 561356893 is a prime.

Together with 829792351, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829792349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829792309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414896174 + 414896175.

It is an arithmetic number, because the mean of its divisors is an integer number (414896175).

Almost surely, 2^829792349 is an apocalyptic number.

It is an amenable number.

829792349 is a deficient number, since it is larger than the sum of its proper divisors (1).

829792349 is an equidigital number, since it uses as much as digits as its factorization.

829792349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 53.

The square root of 829792349 is about 28806.1165206280. The cubic root of 829792349 is about 939.7012589982.

The spelling of 829792349 in words is "eight hundred twenty-nine million, seven hundred ninety-two thousand, three hundred forty-nine".