14007 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 7392.

The previous prime is 13999. The next prime is 14009. The reversal of 14007 is 70041.

14007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14007 - 2³ = 13999 is a prime.

14007 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 13983 and 14001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹⁴⁰⁰⁷ is an apocalyptic number.

14007 is a deficient number, since it is larger than the sum of its proper divisors (9033).

14007 is a wasteful number, since it uses less digits than its factorization.

14007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 14007 is about 118.3511723643. The cubic root of 14007 is about 24.1054388762.

Adding to 14007 its reverse (70041), we get a palindrome (84048).

The spelling of 14007 in words is "fourteen thousand, seven", and thus it is an iban number.