14514 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4640.

The previous prime is 14503. The next prime is 14519. The reversal of 14514 is 41541.

14514 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 = 14493 and 14502.

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

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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹⁴⁵¹⁴ is an apocalyptic number.

14514 is an abundant number, since it is smaller than the sum of its proper divisors (15726).

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 (15120).

14514 is a wasteful number, since it uses less digits than its factorization.

14514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its digits is 80, while the sum is 15.

The square root of 14514 is about 120.4740635988. The cubic root of 14514 is about 24.3928403252.

It can be divided in two parts, 14 and 514, that added together give a triangular number (528 = T₃₂).

The spelling of 14514 in words is "fourteen thousand, five hundred fourteen".