333984 has 72 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 94080.

The previous prime is 333973. The next prime is 333989. The reversal of 333984 is 489333.

It is a happy number.

It is a super-2 number, since 2×333984² = 223090624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333989) by changing a digit.

333984 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 11 ways as a sum of consecutive naturals, for example, 4669 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2³³³⁹⁸⁴ 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 333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

333984 is an abundant number, since it is smaller than the sum of its proper divisors (700224).

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

333984 is a wasteful number, since it uses less digits than its factorization.

333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 333984 is about 577.9134883354. The cubic root of 333984 is about 69.3812128191.

The spelling of 333984 in words is "three hundred thirty-three thousand, nine hundred eighty-four".