821832 has 48 divisors (see below), whose sum is σ = 2266320. Its totient is φ = 248160.

The previous prime is 821827. The next prime is 821833. The reversal of 821832 is 238128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 821832.

It is not an unprimeable number, because it can be changed into a prime (821833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2763 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (47215).

2⁸²¹⁸³² 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 821832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133160).

821832 is an abundant number, since it is smaller than the sum of its proper divisors (1444488).

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

821832 is a wasteful number, since it uses less digits than its factorization.

821832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 821832 is about 906.5495022336. The cubic root of 821832 is about 93.6686690189.

821832 divided by its sum of digits (24) gives a palindrome (34243).

It can be divided in two parts, 821 and 832, that added together give a triangular number (1653 = T₅₇).

The spelling of 821832 in words is "eight hundred twenty-one thousand, eight hundred thirty-two".