14591 has 2 divisors, whose sum is σ = 14592. Its totient is φ = 14590.

The previous prime is 14563. The next prime is 14593. The reversal of 14591 is 19541.

14591 is a mountain number because its digits go up and then down.

It is a strong prime.

It is an emirp because it is prime and its reverse (19541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14591 - 2¹⁰ = 13567 is a prime.

Together with 14593, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14591.

It is not a weakly prime, because it can be changed into another prime (14593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7295 + 7296.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2¹⁴⁵⁹¹ is an apocalyptic number.

14591 is a deficient number, since it is larger than the sum of its proper divisors (1).

14591 is an equidigital number, since it uses as much as digits as its factorization.

14591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 20.

The square root of 14591 is about 120.7932117298. The cubic root of 14591 is about 24.4359007485.

Subtracting 14591 from its reverse (19541), we obtain a triangular number (4950 = T₉₉).

The spelling of 14591 in words is "fourteen thousand, five hundred ninety-one".