13944 has 32 divisors (see below), whose sum is σ = 40320. Its totient is φ = 3936.

The previous prime is 13933. The next prime is 13963. The reversal of 13944 is 44931.

13944 = T₅₅ + T₅₆ + ... + T₆₂.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 13944.

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 13944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹³⁹⁴⁴ is an apocalyptic number.

13944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

13944 is an abundant number, since it is smaller than the sum of its proper divisors (26376).

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

13944 is a wasteful number, since it uses less digits than its factorization.

13944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 13944 is about 118.0847153530. The cubic root of 13944 is about 24.0692444691.

It can be divided in two parts, 139 and 44, that multiplied together give a palindrome (6116).

The spelling of 13944 in words is "thirteen thousand, nine hundred forty-four".