33444 has 18 divisors (see below), whose sum is σ = 84630. Its totient is φ = 11136.

The previous prime is 33427. The next prime is 33457. The reversal of 33444 is 44433.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 14400 = 138^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33444² = 2237002272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33444.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 429 + ... + 500.

2³³⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

33444 is an abundant number, since it is smaller than the sum of its proper divisors (51186).

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

33444 is a wasteful number, since it uses less digits than its factorization.

33444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 33444 is about 182.8770078495. The cubic root of 33444 is about 32.2185559752.

Adding to 33444 its reverse (44433), we get a palindrome (77877).

It can be divided in two parts, 334 and 44, that added together give a triangular number (378 = T₂₇).

The spelling of 33444 in words is "thirty-three thousand, four hundred forty-four".