823032 has 96 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 221760.

The previous prime is 823013. The next prime is 823033. The reversal of 823032 is 230328.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 822996 and 823014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823033) by changing a digit.

823032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11557 + ... + 11627.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁸²³⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

823032 is an abundant number, since it is smaller than the sum of its proper divisors (1872648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823032 is a wasteful number, since it uses less digits than its factorization.

823032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 823032 is about 907.2111110431. The cubic root of 823032 is about 93.7142370258.

Subtracting from 823032 its reverse (230328), we obtain a cube (592704 = 84³).

The spelling of 823032 in words is "eight hundred twenty-three thousand, thirty-two".