14824 has 16 divisors (see below), whose sum is σ = 29700. Its totient is φ = 6912.

The previous prime is 14821. The next prime is 14827. The reversal of 14824 is 42841.

It is an interprime number because it is at equal distance from previous prime (14821) and next prime (14827).

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 900 = 118^2 + 30^2 .

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

Its product of digits (256) is a multiple of the sum of its prime divisors (128).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (14821) 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, 82 + ... + 190.

2¹⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

14824 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 (14850).

14824 is a wasteful number, since it uses less digits than its factorization.

14824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 14824 is about 121.7538500418. The cubic root of 14824 is about 24.5652847190.

It can be divided in two parts, 14 and 824, that added together give a palindrome (838).

The spelling of 14824 in words is "fourteen thousand, eight hundred twenty-four".