33424 has 10 divisors (see below), whose sum is σ = 64790. Its totient is φ = 16704.

The previous prime is 33413. The next prime is 33427. The reversal of 33424 is 42433.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 1024 = 180^2 + 32^2 .

It is a super-2 number, since 2×33424² = 2234327552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2089 = 33424 / (3 + 3 + 4 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 33398 and 33407.

It is not an unprimeable number, because it can be changed into a prime (33427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1029 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (6479).

2³³⁴²⁴ is an apocalyptic number.

It is an amenable number.

33424 is a deficient number, since it is larger than the sum of its proper divisors (31366).

33424 is a wasteful number, since it uses less digits than its factorization.

33424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its digits is 288, while the sum is 16.

The square root of 33424 is about 182.8223181124. The cubic root of 33424 is about 32.2121323057.

Adding to 33424 its reverse (42433), we get a palindrome (75857).

Subtracting 33424 from its reverse (42433), we obtain a palindrome (9009).

The spelling of 33424 in words is "thirty-three thousand, four hundred twenty-four".