33824 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 14400.

The previous prime is 33811. The next prime is 33827. The reversal of 33824 is 42833.

It is a super-2 number, since 2×33824² = 2288125952, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 3³ + 8⁵ + 2 + 4⁵ .

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 33796 and 33805.

It is not an unprimeable number, because it can be changed into a prime (33827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2³³⁸²⁴ 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 33824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

33824 is an abundant number, since it is smaller than the sum of its proper divisors (42784).

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

33824 is a wasteful number, since it uses less digits than its factorization.

33824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 33824 is about 183.9130229212. The cubic root of 33824 is about 32.3401220969.

Subtracting 33824 from its reverse (42833), we obtain a palindrome (9009).

The spelling of 33824 in words is "thirty-three thousand, eight hundred twenty-four".