823232 has 28 divisors (see below), whose sum is σ = 1722120. Its totient is φ = 389376.

The previous prime is 823231. The next prime is 823237. The reversal of 823232 is 232328.

It is a happy number.

It is a d-powerful number, because it can be written as 8⁶ + 2² + 2¹⁴ + 3⁶ + 3⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1554.

2⁸²³²³² 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 823232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861060).

823232 is an abundant number, since it is smaller than the sum of its proper divisors (898888).

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

823232 is a wasteful number, since it uses less digits than its factorization.

823232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 823232 is about 907.3213322743. The cubic root of 823232 is about 93.7218273866.

The spelling of 823232 in words is "eight hundred twenty-three thousand, two hundred thirty-two".