827882819 has 2 divisors, whose sum is σ = 827882820. Its totient is φ = 827882818.

The previous prime is 827882777. The next prime is 827882821. The reversal of 827882819 is 918288728.

827882819 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 827882819 - 2⁸ = 827882563 is a prime.

It is a super-2 number, since 2×827882819² = 1370779923990773522, which contains 22 as substring.

Together with 827882821, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827882849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413941409 + 413941410.

It is an arithmetic number, because the mean of its divisors is an integer number (413941410).

Almost surely, 2^827882819 is an apocalyptic number.

827882819 is a deficient number, since it is larger than the sum of its proper divisors (1).

827882819 is an equidigital number, since it uses as much as digits as its factorization.

827882819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1032192, while the sum is 53.

The square root of 827882819 is about 28772.9529072009. The cubic root of 827882819 is about 938.9798873871.

The spelling of 827882819 in words is "eight hundred twenty-seven million, eight hundred eighty-two thousand, eight hundred nineteen".