819344 has 20 divisors (see below), whose sum is σ = 1627500. Its totient is φ = 399360.

The previous prime is 819319. The next prime is 819367. The reversal of 819344 is 443918.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 659344 = 400^2 + 812^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (81375).

2⁸¹⁹³⁴⁴ is an apocalyptic number.

It is an amenable number.

819344 is a deficient number, since it is larger than the sum of its proper divisors (808156).

819344 is a wasteful number, since it uses less digits than its factorization.

819344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 819344 is about 905.1762259361. The cubic root of 819344 is about 93.5740498349.

The spelling of 819344 in words is "eight hundred nineteen thousand, three hundred forty-four".