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12714 = 2313163

12714 has 16 divisors (see below), whose sum is σ = 27552. Its totient is φ = 3888.

The previous prime is 12713. The next prime is 12721. The reversal of 12714 is 41721.

12714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12693 and 12702.

It is not an unprimeable number, because it can be changed into a prime (12713) 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 in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1722).

212714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776).

12714 is an abundant number, since it is smaller than the sum of its proper divisors (14838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12714 is a wasteful number, since it uses less digits than its factorization.

12714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 56, while the sum is 15.

The square root of 12714 is about 112.7563745426. The cubic root of 12714 is about 23.3396354859.

It can be divided in two parts, 1271 and 4, that added together give a triangular number (1275 = T50).

The spelling of 12714 in words is "twelve thousand, seven hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 2119 4238 6357 12714