14832 has 30 divisors (see below), whose sum is σ = 41912. Its totient is φ = 4896.

The previous prime is 14831. The next prime is 14843. The reversal of 14832 is 23841.

It is a happy number.

It is a Smith number, since the sum of its digits (18) 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 (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

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 14832.

It is not an unprimeable number, because it can be changed into a prime (14831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93 + ... + 195.

2¹⁴⁸³² is an apocalyptic number.

14832 is a gapful number since it is divisible by the number (12) 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 14832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956).

14832 is an abundant number, since it is smaller than the sum of its proper divisors (27080).

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

14832 is a wasteful number, since it uses less digits than its factorization.

14832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14832 is about 121.7866987811. The cubic root of 14832 is about 24.5697029358.

Subtracting 14832 from its reverse (23841), we obtain a palindrome (9009).

It can be divided in two parts, 1483 and 2, that added together give a triangular number (1485 = T₅₄).

The spelling of 14832 in words is "fourteen thousand, eight hundred thirty-two".