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11587 is a prime number

11587 has 2 divisors, whose sum is σ = 11588. Its totient is φ = 11586.

The previous prime is 11579. The next prime is 11593. The reversal of 11587 is 78511.

11587 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (78511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11587 - 23 = 11579 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (11527) 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, 5793 + 5794.

It is an arithmetic number, because the mean of its divisors is an integer number (5794).

211587 is an apocalyptic number.

11587 is a deficient number, since it is larger than the sum of its proper divisors (1).

11587 is an equidigital number, since it uses as much as digits as its factorization.

11587 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 22.

The square root of 11587 is about 107.6429282396. The cubic root of 11587 is about 22.6285643988.

It can be divided in two parts, 115 and 87, that added together give a palindrome (202).

The spelling of 11587 in words is "eleven thousand, five hundred eighty-seven".