829084216 has 8 divisors (see below), whose sum is σ = 1554532920. Its totient is φ = 414542104.

The previous prime is 829084213. The next prime is 829084231. The reversal of 829084216 is 612480928.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829084213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51817756 + ... + 51817771.

It is an arithmetic number, because the mean of its divisors is an integer number (194316615).

Almost surely, 2^829084216 is an apocalyptic number.

It is an amenable number.

829084216 is a deficient number, since it is larger than the sum of its proper divisors (725448704).

829084216 is a wasteful number, since it uses less digits than its factorization.

829084216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103635533 (or 103635529 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 829084216 is about 28793.8225319251. The cubic root of 829084216 is about 939.4338736888.

The spelling of 829084216 in words is "eight hundred twenty-nine million, eighty-four thousand, two hundred sixteen".