829958963 has 2 divisors, whose sum is σ = 829958964. Its totient is φ = 829958962.

The previous prime is 829958891. The next prime is 829958977. The reversal of 829958963 is 369859928.

829958963 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 is a cyclic number.

It is not a de Polignac number, because 829958963 - 2¹⁰ = 829957939 is a prime.

It is not a weakly prime, because it can be changed into another prime (829958993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414979481 + 414979482.

It is an arithmetic number, because the mean of its divisors is an integer number (414979482).

Almost surely, 2^829958963 is an apocalyptic number.

829958963 is a deficient number, since it is larger than the sum of its proper divisors (1).

829958963 is an equidigital number, since it uses as much as digits as its factorization.

829958963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8398080, while the sum is 59.

The square root of 829958963 is about 28809.0083654401. The cubic root of 829958963 is about 939.7641489922.

The spelling of 829958963 in words is "eight hundred twenty-nine million, nine hundred fifty-eight thousand, nine hundred sixty-three".