829434705 has 16 divisors (see below), whose sum is σ = 1447740864. Its totient is φ = 402150080.

The previous prime is 829434689. The next prime is 829434707. The reversal of 829434705 is 507434928.

It is not a de Polignac number, because 829434705 - 2⁴ = 829434689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829434707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2513274 + ... + 2513603.

It is an arithmetic number, because the mean of its divisors is an integer number (90483804).

Almost surely, 2^829434705 is an apocalyptic number.

It is an amenable number.

829434705 is a deficient number, since it is larger than the sum of its proper divisors (618306159).

829434705 is a wasteful number, since it uses less digits than its factorization.

829434705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026896.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 829434705 is about 28799.9080727700. The cubic root of 829434705 is about 939.5662345298.

It can be divided in two parts, 829 and 434705, that added together give a palindrome (435534).

The spelling of 829434705 in words is "eight hundred twenty-nine million, four hundred thirty-four thousand, seven hundred five".