14627 has 2 divisors, whose sum is σ = 14628. Its totient is φ = 14626.

The previous prime is 14621. The next prime is 14629. The reversal of 14627 is 72641.

14627 is nontrivially palindromic in base 8.

14627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 14627 - 2⁶ = 14563 is a prime.

Together with 14629, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 14599 and 14608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14627.

It is not a weakly prime, because it can be changed into another prime (14621) 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 as a sum of consecutive naturals, namely, 7313 + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (7314).

2¹⁴⁶²⁷ is an apocalyptic number.

14627 is a deficient number, since it is larger than the sum of its proper divisors (1).

14627 is an equidigital number, since it uses as much as digits as its factorization.

14627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 20.

The square root of 14627 is about 120.9421349241. The cubic root of 14627 is about 24.4559809335.

It can be divided in two parts, 14 and 627, that multiplied together give a palindrome (8778).

The spelling of 14627 in words is "fourteen thousand, six hundred twenty-seven".