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12917 is a prime number
BaseRepresentation
bin11001001110101
3122201102
43021311
5403132
6135445
752442
oct31165
918642
1012917
119783
127585
135b58
1449c9
153c62
hex3275

12917 has 2 divisors, whose sum is σ = 12918. Its totient is φ = 12916.

The previous prime is 12911. The next prime is 12919. The reversal of 12917 is 71921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11236 + 1681 = 106^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 12917 - 26 = 12853 is a prime.

Together with 12919, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6458 + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (6459).

212917 is an apocalyptic number.

It is an amenable number.

12917 is a deficient number, since it is larger than the sum of its proper divisors (1).

12917 is an equidigital number, since it uses as much as digits as its factorization.

12917 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 20.

The square root of 12917 is about 113.6529806032. The cubic root of 12917 is about 23.4631987744.

It can be divided in two parts, 12 and 917, that added together give a palindrome (929).

The spelling of 12917 in words is "twelve thousand, nine hundred seventeen".