829057641 has 8 divisors (see below), whose sum is σ = 1126267200. Its totient is φ = 542276592.

The previous prime is 829057637. The next prime is 829057643. The reversal of 829057641 is 146750928.

829057641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 829057641 - 2² = 829057637 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 829057593 and 829057602.

It is not an unprimeable number, because it can be changed into a prime (829057643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2606941 + ... + 2607258.

It is an arithmetic number, because the mean of its divisors is an integer number (140783400).

Almost surely, 2^829057641 is an apocalyptic number.

It is an amenable number.

829057641 is a deficient number, since it is larger than the sum of its proper divisors (297209559).

829057641 is a wasteful number, since it uses less digits than its factorization.

829057641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214255.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 829057641 is about 28793.3610577161. The cubic root of 829057641 is about 939.4238362196.

The spelling of 829057641 in words is "eight hundred twenty-nine million, fifty-seven thousand, six hundred forty-one".