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12817841 is a prime number
BaseRepresentation
bin110000111001…
…010110110001
3220010012202212
4300321112301
511240132331
61134421505
7213643541
oct60712661
926105685
1012817841
117265263
124361895
13286a32a
1419b9321
1511d2d2b
hexc395b1

12817841 has 2 divisors, whose sum is σ = 12817842. Its totient is φ = 12817840.

The previous prime is 12817823. The next prime is 12817853. The reversal of 12817841 is 14871821.

12817841 is digitally balanced in base 2, 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., 8386816 + 4431025 = 2896^2 + 2105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12817841 - 214 = 12801457 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12817798 and 12817807.

It is not a weakly prime, because it can be changed into another prime (12817801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6408920 + 6408921.

It is an arithmetic number, because the mean of its divisors is an integer number (6408921).

Almost surely, 212817841 is an apocalyptic number.

It is an amenable number.

12817841 is a deficient number, since it is larger than the sum of its proper divisors (1).

12817841 is an equidigital number, since it uses as much as digits as its factorization.

12817841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3584, while the sum is 32.

The square root of 12817841 is about 3580.2012513265. The cubic root of 12817841 is about 234.0300506857.

The spelling of 12817841 in words is "twelve million, eight hundred seventeen thousand, eight hundred forty-one".