Search a number
-
+
12977 = 19683
BaseRepresentation
bin11001010110001
3122210122
43022301
5403402
6140025
752556
oct31261
918718
1012977
119828
127615
135ba3
144a2d
153ca2
hex32b1

12977 has 4 divisors (see below), whose sum is σ = 13680. Its totient is φ = 12276.

The previous prime is 12973. The next prime is 12979. The reversal of 12977 is 77921.

12977 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: 77921 = 671163.

It is a cyclic number.

It is not a de Polignac number, because 12977 - 22 = 12973 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12973) 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, 323 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

212977 is an apocalyptic number.

It is an amenable number.

12977 is a deficient number, since it is larger than the sum of its proper divisors (703).

12977 is an equidigital number, since it uses as much as digits as its factorization.

12977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its digits is 882, while the sum is 26.

The square root of 12977 is about 113.9166361863. The cubic root of 12977 is about 23.4994718457.

It can be divided in two parts, 12 and 977, that added together give a palindrome (989).

The spelling of 12977 in words is "twelve thousand, nine hundred seventy-seven".

Divisors: 1 19 683 12977