33144 has 16 divisors (see below), whose sum is σ = 82920. Its totient is φ = 11040.

The previous prime is 33119. The next prime is 33149. The reversal of 33144 is 44133.

33144 = T₈₇ + T₈₈ + ... + T₉₄.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33144.

It is not an unprimeable number, because it can be changed into a prime (33149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667 + ... + 714.

2³³¹⁴⁴ is an apocalyptic number.

It is an amenable number.

33144 is an abundant number, since it is smaller than the sum of its proper divisors (49776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41460).

33144 is a wasteful number, since it uses less digits than its factorization.

33144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1386 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 33144 is about 182.0549367636. The cubic root of 33144 is about 32.1219306469.

Adding to 33144 its reverse (44133), we get a palindrome (77277).

The spelling of 33144 in words is "thirty-three thousand, one hundred forty-four".