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12601 is a prime number

12601 has 2 divisors, whose sum is σ = 12602. Its totient is φ = 12600.

The previous prime is 12589. The next prime is 12611. The reversal of 12601 is 10621.

12601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12611) can be obtained adding 12601 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 2601 = 100^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 12601 - 25 = 12569 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12611) 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, 6300 + 6301.

It is an arithmetic number, because the mean of its divisors is an integer number (6301).

212601 is an apocalyptic number.

It is an amenable number.

12601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12601 is an equidigital number, since it uses as much as digits as its factorization.

12601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12601 is about 112.2541758689. The cubic root of 12601 is about 23.2702832979.

The spelling of 12601 in words is "twelve thousand, six hundred one".