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12717 = 34157
BaseRepresentation
bin11000110101101
3122110000
43012231
5401332
6134513
752035
oct30655
918400
1012717
119611
127439
135a33
1448c5
153b7c
hex31ad

12717 has 10 divisors (see below), whose sum is σ = 19118. Its totient is φ = 8424.

The previous prime is 12713. The next prime is 12721. The reversal of 12717 is 71721.

It can be divided in two parts, 127 and 17, that added together give a square (144 = 122).

It is an interprime number because it is at equal distance from previous prime (12713) and next prime (12721).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 2916 = 99^2 + 54^2 .

It is not a de Polignac number, because 12717 - 22 = 12713 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3 + ... + 159.

212717 is an apocalyptic number.

It is an amenable number.

12717 is a deficient number, since it is larger than the sum of its proper divisors (6401).

12717 is an equidigital number, since it uses as much as digits as its factorization.

12717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 12717 is about 112.7696767753. The cubic root of 12717 is about 23.3414710844.

The spelling of 12717 in words is "twelve thousand, seven hundred seventeen", and thus it is an iban number.

Divisors: 1 3 9 27 81 157 471 1413 4239 12717