819232 has 12 divisors (see below), whose sum is σ = 1612926. Its totient is φ = 409600.

The previous prime is 819229. The next prime is 819239. The reversal of 819232 is 232918.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 404496 = 644^2 + 636^2 .

It is a super-2 number, since 2×819232² = 1342282139648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 819197 and 819206.

It is not an unprimeable number, because it can be changed into a prime (819239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12769 + ... + 12832.

2⁸¹⁹²³² is an apocalyptic number.

It is an amenable number.

819232 is a deficient number, since it is larger than the sum of its proper divisors (793694).

819232 is a wasteful number, since it uses less digits than its factorization.

819232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25611 (or 25603 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 819232 is about 905.1143574157. The cubic root of 819232 is about 93.5697859477.

It can be divided in two parts, 8192 and 32, that multiplied together give a 18-th power (262144 = 2¹⁸).

The spelling of 819232 in words is "eight hundred nineteen thousand, two hundred thirty-two".