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12563 = 17739
BaseRepresentation
bin11000100010011
3122020022
43010103
5400223
6134055
751425
oct30423
918208
1012563
119491
12732b
135945
144815
153ac8
hex3113

12563 has 4 divisors (see below), whose sum is σ = 13320. Its totient is φ = 11808.

The previous prime is 12553. The next prime is 12569. The reversal of 12563 is 36521.

12563 is nontrivially palindromic in base 4 and base 16.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36521 = 59619.

It is a cyclic number.

It is not a de Polignac number, because 12563 - 24 = 12547 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 739 = 12563 / (1 + 2 + 5 + 6 + 3).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

212563 is an apocalyptic number.

12563 is a deficient number, since it is larger than the sum of its proper divisors (757).

12563 is an equidigital number, since it uses as much as digits as its factorization.

12563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756.

The product of its digits is 180, while the sum is 17.

The square root of 12563 is about 112.0847893338. The cubic root of 12563 is about 23.2468681950.

It can be divided in two parts, 125 and 63, that multiplied together give a triangular number (7875 = T125).

The spelling of 12563 in words is "twelve thousand, five hundred sixty-three".

Divisors: 1 17 739 12563