828679667 has 8 divisors (see below), whose sum is σ = 835000320. Its totient is φ = 822380040.

The previous prime is 828679619. The next prime is 828679679. The reversal of 828679667 is 766976828.

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 828679667 - 2¹⁸ = 828417523 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828679067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78908 + ... + 88790.

It is an arithmetic number, because the mean of its divisors is an integer number (104375040).

Almost surely, 2^828679667 is an apocalyptic number.

828679667 is a deficient number, since it is larger than the sum of its proper divisors (6320653).

828679667 is a wasteful number, since it uses less digits than its factorization.

828679667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513.

The product of its digits is 12192768, while the sum is 59.

The square root of 828679667 is about 28786.7967478148. The cubic root of 828679667 is about 939.2810509084.

The spelling of 828679667 in words is "eight hundred twenty-eight million, six hundred seventy-nine thousand, six hundred sixty-seven".