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11593 is a prime number

11593 has 2 divisors, whose sum is σ = 11594. Its totient is φ = 11592.

The previous prime is 11587. The next prime is 11597. The reversal of 11593 is 39511.

11593 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

11593 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11449 + 144 = 107^2 + 12^2 .

It is an emirp because it is prime and its reverse (39511) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11593 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 11593.

It is not a weakly prime, because it can be changed into another prime (11597) 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, 5796 + 5797.

It is an arithmetic number, because the mean of its divisors is an integer number (5797).

211593 is an apocalyptic number.

It is an amenable number.

11593 is a deficient number, since it is larger than the sum of its proper divisors (1).

11593 is an equidigital number, since it uses as much as digits as its factorization.

11593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 19.

The square root of 11593 is about 107.6707945545. The cubic root of 11593 is about 22.6324695787.

The spelling of 11593 in words is "eleven thousand, five hundred ninety-three".