829084953 has 8 divisors (see below), whose sum is σ = 1107364768. Its totient is φ = 551764224.

The previous prime is 829084943. The next prime is 829084981. The reversal of 829084953 is 359480928.

829084953 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 829084953 - 2⁶ = 829084889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829084913) 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, 237751 + ... + 241212.

It is an arithmetic number, because the mean of its divisors is an integer number (138420596).

Almost surely, 2^829084953 is an apocalyptic number.

It is an amenable number.

829084953 is a deficient number, since it is larger than the sum of its proper divisors (278279815).

829084953 is a wasteful number, since it uses less digits than its factorization.

829084953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479543.

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 829084953 is about 28793.8353298063. The cubic root of 829084953 is about 939.4341520532.

The spelling of 829084953 in words is "eight hundred twenty-nine million, eighty-four thousand, nine hundred fifty-three".