829483201 has 16 divisors (see below), whose sum is σ = 916248960. Its totient is φ = 748218240.

The previous prime is 829483169. The next prime is 829483211. The reversal of 829483201 is 102384928.

It is a cyclic number.

It is not a de Polignac number, because 829483201 - 2⁵ = 829483169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829483211) 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, 14221 + ... + 43141.

It is an arithmetic number, because the mean of its divisors is an integer number (57265560).

Almost surely, 2^829483201 is an apocalyptic number.

It is an amenable number.

829483201 is a deficient number, since it is larger than the sum of its proper divisors (86765759).

829483201 is a wasteful number, since it uses less digits than its factorization.

829483201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29016.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 829483201 is about 28800.7500075953. The cubic root of 829483201 is about 939.5845459234.

The spelling of 829483201 in words is "eight hundred twenty-nine million, four hundred eighty-three thousand, two hundred one".