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12907 is a prime number
BaseRepresentation
bin11001001101011
3122201001
43021223
5403112
6135431
752426
oct31153
918631
1012907
119774
127577
135b4b
1449bd
153c57
hex326b

12907 has 2 divisors, whose sum is σ = 12908. Its totient is φ = 12906.

The previous prime is 12899. The next prime is 12911. The reversal of 12907 is 70921.

12907 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 is an emirp because it is prime and its reverse (70921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12907 - 23 = 12899 is a prime.

It is an alternating number because its digits alternate between odd and even.

12907 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (12917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6453 + 6454.

It is an arithmetic number, because the mean of its divisors is an integer number (6454).

212907 is an apocalyptic number.

12907 is a deficient number, since it is larger than the sum of its proper divisors (1).

12907 is an equidigital number, since it uses as much as digits as its factorization.

12907 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 12907 is about 113.6089785184. The cubic root of 12907 is about 23.4571423485.

It can be divided in two parts, 12 and 907, that added together give a palindrome (919).

The spelling of 12907 in words is "twelve thousand, nine hundred seven".