14084 has 12 divisors (see below), whose sum is σ = 28224. Its totient is φ = 6024.

The previous prime is 14083. The next prime is 14087. The reversal of 14084 is 48041.

It is a happy number.

14084 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

14084 is an admirable number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (14081) 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, 224 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2¹⁴⁰⁸⁴ is an apocalyptic number.

14084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14084 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (14112).

14084 is a wasteful number, since it uses less digits than its factorization.

14084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 14084 is about 118.6760295932. The cubic root of 14084 is about 24.1495294014.

The spelling of 14084 in words is "fourteen thousand, eighty-four".