32544 has 36 divisors (see below), whose sum is σ = 93366. Its totient is φ = 10752.

The previous prime is 32537. The next prime is 32561. The reversal of 32544 is 44523.

It is a happy number.

32544 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 144 = 180^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×32544² = 2118223872, which contains 22 as substring.

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

32544 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 15.

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 32544.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232 + ... + 344.

2³²⁵⁴⁴ 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 32544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683).

32544 is an abundant number, since it is smaller than the sum of its proper divisors (60822).

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

32544 is a wasteful number, since it uses less digits than its factorization.

32544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 32544 is about 180.3995565405. The cubic root of 32544 is about 31.9269165482.

It can be divided in two parts, 32 and 544, that added together give a square (576 = 24²).

The spelling of 32544 in words is "thirty-two thousand, five hundred forty-four".