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12727 = 111389
BaseRepresentation
bin11000110110111
3122110101
43012313
5401402
6134531
752051
oct30667
918411
1012727
119620
127447
135a40
1448d1
153b87
hex31b7

12727 has 8 divisors (see below), whose sum is σ = 15120. Its totient is φ = 10560.

The previous prime is 12721. The next prime is 12739. The reversal of 12727 is 72721.

12727 is nontrivially palindromic in base 12.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-12727 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

212727 is an apocalyptic number.

12727 is a deficient number, since it is larger than the sum of its proper divisors (2393).

12727 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12726) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (113).

12727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its digits is 196, while the sum is 19.

The square root of 12727 is about 112.8140062226. The cubic root of 12727 is about 23.3475876621.

The spelling of 12727 in words is "twelve thousand, seven hundred twenty-seven", and thus it is an iban number.

Divisors: 1 11 13 89 143 979 1157 12727