829673147 has 2 divisors, whose sum is σ = 829673148. Its totient is φ = 829673146.

The previous prime is 829673123. The next prime is 829673149. The reversal of 829673147 is 741376928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829673147 - 2⁸ = 829672891 is a prime.

It is a super-3 number, since 3×829673147³ (a number of 28 digits) contains 333 as substring.

Together with 829673149, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (829673149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414836573 + 414836574.

It is an arithmetic number, because the mean of its divisors is an integer number (414836574).

Almost surely, 2^829673147 is an apocalyptic number.

829673147 is a deficient number, since it is larger than the sum of its proper divisors (1).

829673147 is an equidigital number, since it uses as much as digits as its factorization.

829673147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The square root of 829673147 is about 28804.0474065712. The cubic root of 829673147 is about 939.6562599356.

The spelling of 829673147 in words is "eight hundred twenty-nine million, six hundred seventy-three thousand, one hundred forty-seven".