Search a number
-
+
12627 = 322361
BaseRepresentation
bin11000101010011
3122022200
43011103
5401002
6134243
751546
oct30523
918280
1012627
11953a
127383
135994
14485d
153b1c
hex3153

12627 has 12 divisors (see below), whose sum is σ = 19344. Its totient is φ = 7920.

The previous prime is 12619. The next prime is 12637. The reversal of 12627 is 72621.

It can be divided in two parts, 126 and 27, that added together give a triangular number (153 = T17).

It is a happy number.

12627 is nontrivially palindromic in base 4.

12627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12627 - 23 = 12619 is a prime.

It is a super-2 number, since 2×126272 = 318882258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12637) 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 11 ways as a sum of consecutive naturals, for example, 177 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (1612).

212627 is an apocalyptic number.

12627 is a deficient number, since it is larger than the sum of its proper divisors (6717).

12627 is a wasteful number, since it uses less digits than its factorization.

12627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 12627 is about 112.3699248020. The cubic root of 12627 is about 23.2862770476.

The spelling of 12627 in words is "twelve thousand, six hundred twenty-seven".

Divisors: 1 3 9 23 61 69 183 207 549 1403 4209 12627