829136819 has 16 divisors (see below), whose sum is σ = 979568640. Its totient is φ = 686767680.

The previous prime is 829136783. The next prime is 829136843. The reversal of 829136819 is 918631928.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829136819 is a prime.

It is a super-2 number, since 2×829136819² = 1374935729242877522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829139819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173192 + ... + 177914.

It is an arithmetic number, because the mean of its divisors is an integer number (61223040).

Almost surely, 2^829136819 is an apocalyptic number.

829136819 is a deficient number, since it is larger than the sum of its proper divisors (150431821).

829136819 is a wasteful number, since it uses less digits than its factorization.

829136819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570.

The product of its digits is 186624, while the sum is 47.

The square root of 829136819 is about 28794.7359598938. The cubic root of 829136819 is about 939.4537413910.

The spelling of 829136819 in words is "eight hundred twenty-nine million, one hundred thirty-six thousand, eight hundred nineteen".