819828919 has 16 divisors (see below), whose sum is σ = 1009814848. Its totient is φ = 648145152.

The previous prime is 819828917. The next prime is 819828937. The reversal of 819828919 is 919828918.

It is a cyclic number.

It is not a de Polignac number, because 819828919 - 2¹ = 819828917 is a prime.

It is a super-2 number, since 2×819828919² = 1344238912857417122, 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 819828919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819828913) 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 15 ways as a sum of consecutive naturals, for example, 148069 + ... + 153505.

It is an arithmetic number, because the mean of its divisors is an integer number (63113428).

Almost surely, 2^819828919 is an apocalyptic number.

819828919 is a deficient number, since it is larger than the sum of its proper divisors (189985929).

819828919 is a wasteful number, since it uses less digits than its factorization.

819828919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114.

The product of its digits is 746496, while the sum is 55.

The square root of 819828919 is about 28632.6547668916. The cubic root of 819828919 is about 935.9250642367.

Subtracting 819828919 from its reverse (919828918), we obtain a palindrome (99999999).

The spelling of 819828919 in words is "eight hundred nineteen million, eight hundred twenty-eight thousand, nine hundred nineteen".