14561 has 2 divisors, whose sum is σ = 14562. Its totient is φ = 14560.

The previous prime is 14557. The next prime is 14563. The reversal of 14561 is 16541.

It is a happy number.

14561 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 can be written as a sum of positive squares in only one way, i.e., 14161 + 400 = 119^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 14561 - 2² = 14557 is a prime.

It is a Sophie Germain prime.

Together with 14563, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (14563) 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, 7280 + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (7281).

2¹⁴⁵⁶¹ is an apocalyptic number.

14561 is the 65-th centered heptagonal number.

It is an amenable number.

14561 is a deficient number, since it is larger than the sum of its proper divisors (1).

14561 is an equidigital number, since it uses as much as digits as its factorization.

14561 is an odious number, because the sum of its binary digits is odd.

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

The square root of 14561 is about 120.6689686705. The cubic root of 14561 is about 24.4191420156.

Subtracting from 14561 its product of digits (120), we obtain a palindrome (14441).

It can be divided in two parts, 14 and 561, that added together give a palindrome (575).

The spelling of 14561 in words is "fourteen thousand, five hundred sixty-one".