Search a number
12663 = 33767
BaseRepresentation
bin11000101110111
3122101000
43011313
5401123
6134343
751630
oct30567
918330
1012663
119572
1273b3
1359c1
144887
153b43
hex3177

12663 has 16 divisors (see below), whose sum is σ = 21760. Its totient is φ = 7128.

The previous prime is 12659. The next prime is 12671. The reversal of 12663 is 36621.

Added to its reverse (36621) it gives a square (49284 = 2222).

It is a happy number.

12663 is a `hidden beast` number, since 1 + 2 + 663 = 666.

It is not a de Polignac number, because 12663 - 22 = 12659 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (1360).

212663 is an apocalyptic number.

12663 is a deficient number, since it is larger than the sum of its proper divisors (9097).

12663 is an equidigital number, since it uses as much as digits as its factorization.

12663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 12663 is about 112.5299960011. The cubic root of 12663 is about 23.3083860350.

Adding to 12663 its reverse (36621), we get a square (49284 = 2222).

The spelling of 12663 in words is "twelve thousand, six hundred sixty-three".