33344 has 14 divisors (see below), whose sum is σ = 66294. Its totient is φ = 16640.

The previous prime is 33343. The next prime is 33347. The reversal of 33344 is 44333.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 7744 = 160^2 + 88^2 .

It is a super-2 number, since 2×33344² = 2223644672, which contains 22 as substring.

It is a plaindrome in base 10 and base 13.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33343) 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 as a sum of consecutive naturals, namely, 197 + ... + 324.

2³³³⁴⁴ is an apocalyptic number.

It is an amenable number.

33344 is a deficient number, since it is larger than the sum of its proper divisors (32950).

33344 is an equidigital number, since it uses as much as digits as its factorization.

33344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its digits is 432, while the sum is 17.

The square root of 33344 is about 182.6033953682. The cubic root of 33344 is about 32.1864119719.

Adding to 33344 its reverse (44333), we get a palindrome (77677).

The spelling of 33344 in words is "thirty-three thousand, three hundred forty-four".