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12709 = 71179
BaseRepresentation
bin11000110100101
3122102201
43012211
5401314
6134501
752024
oct30645
918381
1012709
119604
127431
135a28
1448bb
153b74
hex31a5

12709 has 4 divisors (see below), whose sum is σ = 12960. Its totient is φ = 12460.

The previous prime is 12703. The next prime is 12713. The reversal of 12709 is 90721.

12709 is nontrivially palindromic in base 9.

12709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 90721 = 257353.

It is a cyclic number.

It is not a de Polignac number, because 12709 - 29 = 12197 is a prime.

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

It is a Duffinian number.

12709 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703) 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 3 ways as a sum of consecutive naturals, for example, 19 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

212709 is an apocalyptic number.

It is an amenable number.

12709 is a deficient number, since it is larger than the sum of its proper divisors (251).

12709 is an equidigital number, since it uses as much as digits as its factorization.

12709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

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

The square root of 12709 is about 112.7342006669. The cubic root of 12709 is about 23.3365755132.

The spelling of 12709 in words is "twelve thousand, seven hundred nine".

Divisors: 1 71 179 12709