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12913 = 37349
BaseRepresentation
bin11001001110001
3122201021
43021301
5403123
6135441
752435
oct31161
918637
1012913
11977a
127581
135b54
1449c5
153c5d
hex3271

12913 has 4 divisors (see below), whose sum is σ = 13300. Its totient is φ = 12528.

The previous prime is 12911. The next prime is 12917. The reversal of 12913 is 31921.

12913 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: 31921 = 137233.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 2304 = 103^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 12913 - 21 = 12911 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12911) 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, 138 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (3325).

212913 is an apocalyptic number.

It is an amenable number.

12913 is a deficient number, since it is larger than the sum of its proper divisors (387).

12913 is an equidigital number, since it uses as much as digits as its factorization.

12913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its digits is 54, while the sum is 16.

The square root of 12913 is about 113.6353818139. The cubic root of 12913 is about 23.4607765793.

The spelling of 12913 in words is "twelve thousand, nine hundred thirteen".

Divisors: 1 37 349 12913