821984 has 24 divisors (see below), whose sum is σ = 1714608. Its totient is φ = 386560.

The previous prime is 821971. The next prime is 821993. The reversal of 821984 is 489128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 821984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2⁸²¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

821984 is an abundant number, since it is smaller than the sum of its proper divisors (892624).

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

821984 is a wasteful number, since it uses less digits than its factorization.

821984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 821984 is about 906.6333327206. The cubic root of 821984 is about 93.6744434188.

The spelling of 821984 in words is "eight hundred twenty-one thousand, nine hundred eighty-four".