Search a number
14593 is a prime number
BaseRepresentation
bin11100100000001
3202000111
43210001
5431333
6151321
760355
oct34401
922014
1014593
11aa67
128541
136847
145465
1544cd
hex3901

14593 has 2 divisors, whose sum is σ = 14594. Its totient is φ = 14592.

The previous prime is 14591. The next prime is 14621. The reversal of 14593 is 39541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9409 + 5184 = 97^2 + 72^2 .

It is an emirp because it is prime and its reverse (39541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14593 - 21 = 14591 is a prime.

Together with 14591, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7296 + 7297.

It is an arithmetic number, because the mean of its divisors is an integer number (7297).

It is a Proth number, since it is equal to 57 ⋅ 28 + 1 and 57 < 28.

214593 is an apocalyptic number.

It is an amenable number.

14593 is a deficient number, since it is larger than the sum of its proper divisors (1).

14593 is an equidigital number, since it uses as much as digits as its factorization.

14593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 14593 is about 120.8014900570. The cubic root of 14593 is about 24.4370171803.

The spelling of 14593 in words is "fourteen thousand, five hundred ninety-three".