828717681 has 32 divisors (see below), whose sum is σ = 1226207232. Its totient is φ = 493637760.

The previous prime is 828717671. The next prime is 828717691. The reversal of 828717681 is 186717828.

828717681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828717671) and next prime (828717691).

It is not a de Polignac number, because 828717681 - 2¹⁷ = 828586609 is a prime.

It is a super-2 number, since 2×828717681² = 1373545989604035522, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 828717681.

It is not an unprimeable number, because it can be changed into a prime (828717641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114996 + ... + 1115738.

It is an arithmetic number, because the mean of its divisors is an integer number (38318976).

Almost surely, 2^828717681 is an apocalyptic number.

It is an amenable number.

828717681 is a deficient number, since it is larger than the sum of its proper divisors (397489551).

828717681 is a wasteful number, since it uses less digits than its factorization.

828717681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its digits is 301056, while the sum is 48.

The square root of 828717681 is about 28787.4570082180. The cubic root of 828717681 is about 939.2954132269.

The spelling of 828717681 in words is "eight hundred twenty-eight million, seven hundred seventeen thousand, six hundred eighty-one".