8641 has 2 divisors, whose sum is σ = 8642. Its totient is φ = 8640.
The previous prime is 8629. The next prime is 8647. The reversal of 8641 is 1468.
8641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 5041 + 3600 = 71^2 + 60^2 .
It is a cyclic number.
It is not a de Polignac number, because 8641 - 25 = 8609 is a prime.
8641 is a lucky number.
It is a nialpdrome in base 10.
It is not a weakly prime, because it can be changed into another prime (8647) 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, 4320 + 4321.
It is an arithmetic number, because the mean of its divisors is an integer number (4321).
28641 is an apocalyptic number.
It is an amenable number.
8641 is a deficient number, since it is larger than the sum of its proper divisors (1).
8641 is an equidigital number, since it uses as much as digits as its factorization.
8641 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 192, while the sum is 19.
The square root of 8641 is about 92.9569792969. The cubic root of 8641 is about 20.5205029851.
The spelling of 8641 in words is "eight thousand, six hundred forty-one".
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