829049311 has 2 divisors, whose sum is σ = 829049312. Its totient is φ = 829049310.

The previous prime is 829049293. The next prime is 829049317. The reversal of 829049311 is 113940928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829049311 - 2²⁹ = 292178399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829049317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414524655 + 414524656.

It is an arithmetic number, because the mean of its divisors is an integer number (414524656).

Almost surely, 2^829049311 is an apocalyptic number.

829049311 is a deficient number, since it is larger than the sum of its proper divisors (1).

829049311 is an equidigital number, since it uses as much as digits as its factorization.

829049311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 829049311 is about 28793.2164059523. The cubic root of 829049311 is about 939.4206899056.

The spelling of 829049311 in words is "eight hundred twenty-nine million, forty-nine thousand, three hundred eleven".