14736 has 20 divisors (see below), whose sum is σ = 38192. Its totient is φ = 4896.

The previous prime is 14731. The next prime is 14737. The reversal of 14736 is 63741.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14736.

It is not an unprimeable number, because it can be changed into a prime (14731) by changing a digit.

14736 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 3 ways as a sum of consecutive naturals, for example, 106 + ... + 201.

2¹⁴⁷³⁶ is an apocalyptic number.

14736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14736 is an abundant number, since it is smaller than the sum of its proper divisors (23456).

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 (19096).

14736 is a wasteful number, since it uses less digits than its factorization.

14736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 14736 is about 121.3919272439. The cubic root of 14736 is about 24.5165790880.

The spelling of 14736 in words is "fourteen thousand, seven hundred thirty-six".