829818113 has 2 divisors, whose sum is σ = 829818114. Its totient is φ = 829818112.

The previous prime is 829818107. The next prime is 829818169. The reversal of 829818113 is 311818928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 722964544 + 106853569 = 26888^2 + 10337^2 .

It is a cyclic number.

It is not a de Polignac number, because 829818113 - 2⁴ = 829818097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (829818193) 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 as a sum of consecutive naturals, namely, 414909056 + 414909057.

It is an arithmetic number, because the mean of its divisors is an integer number (414909057).

Almost surely, 2^829818113 is an apocalyptic number.

It is an amenable number.

829818113 is a deficient number, since it is larger than the sum of its proper divisors (1).

829818113 is an equidigital number, since it uses as much as digits as its factorization.

829818113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 41.

The square root of 829818113 is about 28806.5637138483. The cubic root of 829818113 is about 939.7109844083.

The spelling of 829818113 in words is "eight hundred twenty-nine million, eight hundred eighteen thousand, one hundred thirteen".