821232 has 40 divisors (see below), whose sum is σ = 2358480. Its totient is φ = 273600.

The previous prime is 821209. The next prime is 821263. The reversal of 821232 is 232128.

It is a happy number.

821232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

821232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (58962).

2⁸²¹²³² is an apocalyptic number.

It is an amenable number.

821232 is an abundant number, since it is smaller than the sum of its proper divisors (1537248).

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

821232 is a wasteful number, since it uses less digits than its factorization.

821232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 821232 is about 906.2185166945. The cubic root of 821232 is about 93.6458683800.

The spelling of 821232 in words is "eight hundred twenty-one thousand, two hundred thirty-two".