828643567 has 2 divisors, whose sum is σ = 828643568. Its totient is φ = 828643566.

The previous prime is 828643537. The next prime is 828643573. The reversal of 828643567 is 765346828.

828643567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 828643567 - 2²³ = 820254959 is a prime.

It is a super-2 number, since 2×828643567² = 1373300322260966978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828643567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828643507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414321783 + 414321784.

It is an arithmetic number, because the mean of its divisors is an integer number (414321784).

Almost surely, 2^828643567 is an apocalyptic number.

828643567 is a deficient number, since it is larger than the sum of its proper divisors (1).

828643567 is an equidigital number, since it uses as much as digits as its factorization.

828643567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1935360, while the sum is 49.

The square root of 828643567 is about 28786.1697174181. The cubic root of 828643567 is about 939.2674113242.

The spelling of 828643567 in words is "eight hundred twenty-eight million, six hundred forty-three thousand, five hundred sixty-seven".