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12707 = 97131
BaseRepresentation
bin11000110100011
3122102122
43012203
5401312
6134455
752022
oct30643
918378
1012707
119602
12742b
135a26
1448b9
153b72
hex31a3

12707 has 4 divisors (see below), whose sum is σ = 12936. Its totient is φ = 12480.

The previous prime is 12703. The next prime is 12713. The reversal of 12707 is 70721.

It is a happy number.

12707 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 an emirpimes, since its reverse is a distinct semiprime: 70721 = 710103.

It is a cyclic number.

It is not a de Polignac number, because 12707 - 22 = 12703 is a prime.

It is a super-2 number, since 2×127072 = 322935698, which contains 22 as substring.

It is an Ulam number.

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

It is a Duffinian number.

It is a plaindrome in base 6.

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, 32 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

212707 is an apocalyptic number.

12707 is a deficient number, since it is larger than the sum of its proper divisors (229).

12707 is an equidigital number, since it uses as much as digits as its factorization.

12707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 12707 is about 112.7253298953. The cubic root of 12707 is about 23.3353512994.

The spelling of 12707 in words is "twelve thousand, seven hundred seven", and thus it is an iban number.

Divisors: 1 97 131 12707