829253403 has 16 divisors (see below), whose sum is σ = 1340208000. Its totient is φ = 502577640.

The previous prime is 829253393. The next prime is 829253407. The reversal of 829253403 is 304352928.

It is not a de Polignac number, because 829253403 - 2⁵ = 829253371 is a prime.

It is a super-2 number, since 2×829253403² = 1375322412774160818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829253407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395753 + ... + 1396346.

It is an arithmetic number, because the mean of its divisors is an integer number (83763000).

Almost surely, 2^829253403 is an apocalyptic number.

829253403 is a deficient number, since it is larger than the sum of its proper divisors (510954597).

829253403 is a wasteful number, since it uses less digits than its factorization.

829253403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792119 (or 2792113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 829253403 is about 28796.7602865322. The cubic root of 829253403 is about 939.4977711738.

The spelling of 829253403 in words is "eight hundred twenty-nine million, two hundred fifty-three thousand, four hundred three".