14516 has 12 divisors (see below), whose sum is σ = 26880. Its totient is φ = 6840.

The previous prime is 14503. The next prime is 14519. The reversal of 14516 is 61541.

It is a happy number.

14516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 14494 and 14503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14519) by changing a digit.

14516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2¹⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

14516 is a deficient number, since it is larger than the sum of its proper divisors (12364).

14516 is a wasteful number, since it uses less digits than its factorization.

14516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 14516 is about 120.4823638546. The cubic root of 14516 is about 24.3939607019.

It can be divided in two parts, 145 and 16, that added together give a palindrome (161).

The spelling of 14516 in words is "fourteen thousand, five hundred sixteen".