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12947 = 112107
BaseRepresentation
bin11001010010011
3122202112
43022103
5403242
6135535
752514
oct31223
918675
1012947
119800
1275ab
135b7c
144a0b
153c82
hex3293

12947 has 6 divisors (see below), whose sum is σ = 14364. Its totient is φ = 11660.

The previous prime is 12941. The next prime is 12953. The reversal of 12947 is 74921.

12947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12941) and next prime (12953).

It is not a de Polignac number, because 12947 - 210 = 11923 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 not an unprimeable number, because it can be changed into a prime (12941) 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 5 ways as a sum of consecutive naturals, for example, 68 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

212947 is an apocalyptic number.

12947 is a deficient number, since it is larger than the sum of its proper divisors (1417).

12947 is a wasteful number, since it uses less digits than its factorization.

12947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 12947 is about 113.7848847607. The cubic root of 12947 is about 23.4813493184.

It can be divided in two parts, 12 and 947, that added together give a palindrome (959).

The spelling of 12947 in words is "twelve thousand, nine hundred forty-seven".

Divisors: 1 11 107 121 1177 12947