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12641 is a prime number
BaseRepresentation
bin11000101100001
3122100012
43011201
5401031
6134305
751566
oct30541
918305
1012641
119552
127395
1359a5
14486d
153b2b
hex3161

12641 has 2 divisors, whose sum is σ = 12642. Its totient is φ = 12640.

The previous prime is 12637. The next prime is 12647. The reversal of 12641 is 14621.

12641 = 792 + 802.

12641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 6241 = 80^2 + 79^2 .

It is an emirp because it is prime and its reverse (14621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12641 - 22 = 12637 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12641.

It is not a weakly prime, because it can be changed into another prime (12647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6320 + 6321.

It is an arithmetic number, because the mean of its divisors is an integer number (6321).

212641 is an apocalyptic number.

12641 is the 80-th centered square number.

It is an amenable number.

12641 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641 is an equidigital number, since it uses as much as digits as its factorization.

12641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48, while the sum is 14.

The square root of 12641 is about 112.4322017929. The cubic root of 12641 is about 23.2948799743.

The spelling of 12641 in words is "twelve thousand, six hundred forty-one".