821324 has 12 divisors (see below), whose sum is σ = 1642704. Its totient is φ = 351984.

The previous prime is 821311. The next prime is 821329. The reversal of 821324 is 423128.

821324 is an admirable number.

It is a super-2 number, since 2×821324² = 1349146225952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 821296 and 821305.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

821324 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14639 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (136892).

2⁸²¹³²⁴ is an apocalyptic number.

It is an amenable number.

821324 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

821324 is a wasteful number, since it uses less digits than its factorization.

821324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29344 (or 29342 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 821324 is about 906.2692756571. The cubic root of 821324 is about 93.6493651986.

The spelling of 821324 in words is "eight hundred twenty-one thousand, three hundred twenty-four".