828942209 has 2 divisors, whose sum is σ = 828942210. Its totient is φ = 828942208.

The previous prime is 828942197. The next prime is 828942211. The reversal of 828942209 is 902249828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470673025 + 358269184 = 21695^2 + 18928^2 .

It is a cyclic number.

It is not a de Polignac number, because 828942209 - 2¹² = 828938113 is a prime.

Together with 828942211, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828942209.

It is not a weakly prime, because it can be changed into another prime (828942269) 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 as a sum of consecutive naturals, namely, 414471104 + 414471105.

It is an arithmetic number, because the mean of its divisors is an integer number (414471105).

Almost surely, 2^828942209 is an apocalyptic number.

It is an amenable number.

828942209 is a deficient number, since it is larger than the sum of its proper divisors (1).

828942209 is an equidigital number, since it uses as much as digits as its factorization.

828942209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 828942209 is about 28791.3564980881. The cubic root of 828942209 is about 939.3802346652.

The spelling of 828942209 in words is "eight hundred twenty-eight million, nine hundred forty-two thousand, two hundred nine".