821828219 has 4 divisors (see below), whose sum is σ = 821907960. Its totient is φ = 821748480.

The previous prime is 821828179. The next prime is 821828239. The reversal of 821828219 is 912828128.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 821828219 - 2²⁴ = 805051003 is a prime.

It is a super-2 number, since 2×821828219² = 1350803243089423922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821828239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21629 + ... + 45950.

It is an arithmetic number, because the mean of its divisors is an integer number (205476990).

Almost surely, 2^821828219 is an apocalyptic number.

821828219 is a deficient number, since it is larger than the sum of its proper divisors (79741).

821828219 is a wasteful number, since it uses less digits than its factorization.

821828219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79740.

The product of its digits is 36864, while the sum is 41.

The square root of 821828219 is about 28667.5464419263. The cubic root of 821828219 is about 936.6852537158.

Subtracting 821828219 from its reverse (912828128), we obtain a palindrome (90999909).

The spelling of 821828219 in words is "eight hundred twenty-one million, eight hundred twenty-eight thousand, two hundred nineteen".