10891 has 2 divisors, whose sum is σ = 10892. Its totient is φ = 10890.
The previous prime is 10889. The next prime is 10903. The reversal of 10891 is 19801.
10891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a weak prime.
It is an emirp because it is prime and its reverse (19801) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 10891 - 21 = 10889 is a prime.
It is a super-3 number, since 3×108913 = 3875471333913, which contains 333 as substring. Note that it is a super-d number also for d = 2.
Together with 10889, it forms a pair of twin primes.
It is a Chen prime.
10891 is a lucky number.
It is not a weakly prime, because it can be changed into another prime (10831) 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, 5445 + 5446.
It is an arithmetic number, because the mean of its divisors is an integer number (5446).
210891 is an apocalyptic number.
10891 is a deficient number, since it is larger than the sum of its proper divisors (1).
10891 is an equidigital number, since it uses as much as digits as its factorization.
10891 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 72, while the sum is 19.
The square root of 10891 is about 104.3599540054. The cubic root of 10891 is about 22.1660981883.
The spelling of 10891 in words is "ten thousand, eight hundred ninety-one".
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