828000817 has 8 divisors (see below), whose sum is σ = 958265600. Its totient is φ = 700730784.

The previous prime is 828000773. The next prime is 828000839. The reversal of 828000817 is 718000828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828000817 - 2²⁷ = 693783089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828000857) 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 7 ways as a sum of consecutive naturals, for example, 748092 + ... + 749197.

It is an arithmetic number, because the mean of its divisors is an integer number (119783200).

Almost surely, 2^828000817 is an apocalyptic number.

It is an amenable number.

828000817 is a deficient number, since it is larger than the sum of its proper divisors (130264783).

828000817 is a wasteful number, since it uses less digits than its factorization.

828000817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497375.

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 828000817 is about 28775.0033362292. The cubic root of 828000817 is about 939.0244961500.

The spelling of 828000817 in words is "eight hundred twenty-eight million, eight hundred seventeen", and thus it is an aban number.