14184 has 24 divisors (see below), whose sum is σ = 38610. Its totient is φ = 4704.

The previous prime is 14177. The next prime is 14197. The reversal of 14184 is 48141.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 6084 = 90^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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.

14184 is an undulating number in base 14.

It is an unprimeable number.

14184 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27 + ... + 170.

2¹⁴¹⁸⁴ is an apocalyptic number.

It is an amenable number.

14184 is an abundant number, since it is smaller than the sum of its proper divisors (24426).

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

14184 is a wasteful number, since it uses less digits than its factorization.

14184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 14184 is about 119.0965994477. The cubic root of 14184 is about 24.2065506024.

It can be divided in two parts, 141 and 84, that added together give a square (225 = 15²).

The spelling of 14184 in words is "fourteen thousand, one hundred eighty-four".