33384 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 10176.

The previous prime is 33377. The next prime is 33391. The reversal of 33384 is 48333.

It is an interprime number because it is at equal distance from previous prime (33377) and next prime (33391).

It is a super-2 number, since 2×33384² = 2228982912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33384.

It is an unprimeable number.

33384 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³³³⁸⁴ 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 33384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

33384 is an abundant number, since it is smaller than the sum of its proper divisors (57336).

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

33384 is a wasteful number, since it uses less digits than its factorization.

33384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33384 is about 182.7128895289. The cubic root of 33384 is about 32.1992772750.

It can be divided in two parts, 333 and 84, that multiplied together give a palindrome (27972).

The spelling of 33384 in words is "thirty-three thousand, three hundred eighty-four".