828664417 has 8 divisors (see below), whose sum is σ = 959033600. Its totient is φ = 701292384.

The previous prime is 828664409. The next prime is 828664451. The reversal of 828664417 is 714466828.

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 828664417 - 2³ = 828664409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828664477) 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, 748692 + ... + 749797.

It is an arithmetic number, because the mean of its divisors is an integer number (119879200).

Almost surely, 2^828664417 is an apocalyptic number.

It is an amenable number.

828664417 is a deficient number, since it is larger than the sum of its proper divisors (130369183).

828664417 is a wasteful number, since it uses less digits than its factorization.

828664417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498575.

The product of its digits is 516096, while the sum is 46.

The square root of 828664417 is about 28786.5318682192. The cubic root of 828664417 is about 939.2752890825.

The spelling of 828664417 in words is "eight hundred twenty-eight million, six hundred sixty-four thousand, four hundred seventeen".