12763 has 2 divisors, whose sum is σ = 12764. Its totient is φ = 12762.

The previous prime is 12757. The next prime is 12781. The reversal of 12763 is 36721.

It is a weak prime.

It is an emirp because it is prime and its reverse (36721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12763 - 2⁹ = 12251 is a prime.

It is an Ulam number.

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

12763 is a lucky number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12763.

It is not a weakly prime, because it can be changed into another prime (12703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6381 + 6382.

It is an arithmetic number, because the mean of its divisors is an integer number (6382).

2¹²⁷⁶³ is an apocalyptic number.

12763 is a deficient number, since it is larger than the sum of its proper divisors (1).

12763 is an equidigital number, since it uses as much as digits as its factorization.

12763 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 12763 is about 112.9734482080. The cubic root of 12763 is about 23.3695808498.

It can be divided in two parts, 1276 and 3, that multiplied together give a triangular number (3828 = T₈₇).

The spelling of 12763 in words is "twelve thousand, seven hundred sixty-three".