14784 has 56 divisors (see below), whose sum is σ = 48768. Its totient is φ = 3840.

The previous prime is 14783. The next prime is 14797. The reversal of 14784 is 48741.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 1349.

2¹⁴⁷⁸⁴ is an apocalyptic number.

14784 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 14784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384).

14784 is an abundant number, since it is smaller than the sum of its proper divisors (33984).

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

14784 is a wasteful number, since it uses less digits than its factorization.

14784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 14784 is about 121.5894732286. The cubic root of 14784 is about 24.5431697586.

14784 divided by its sum of digits (24) gives a palindrome (616).

It can be divided in two parts, 147 and 84, that added together give a triangular number (231 = T₂₁).

The spelling of 14784 in words is "fourteen thousand, seven hundred eighty-four".