12769 has 3 divisors (see below), whose sum is σ = 12883. Its totient is φ = 12656.

The previous prime is 12763. The next prime is 12781. The reversal of 12769 is 96721.

12769 = T₁₁₂ + T₁₁₃.

The square root of 12769 is 113.

It is a perfect power (a square), and thus also a powerful number.

12769 is nontrivially palindromic in base 3.

12769 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 brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 96721 = 311².

It can be written as a sum of positive squares in only one way, i.e., 225 + 12544 = 15^2 + 112^2 .

It is not a de Polignac number, because 12769 - 2⁷ = 12641 is a prime.

It is a super-2 number, since 2×12769² = 326094722, which contains 22 as substring.

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 (12763) 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 2 ways as a sum of consecutive naturals, for example, 57 + ... + 169.

12769 is a Friedman number, since it can be written as (96+17)^2, using all its digits and the basic arithmetic operations.

2¹²⁷⁶⁹ is an apocalyptic number.

12769 is the 113-rd square number.

12769 is the 57-th centered octagonal number.

It is an amenable number.

12769 is a deficient number, since it is larger than the sum of its proper divisors (114).

12769 is an frugal number, since it uses more digits than its factorization.

12769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The cubic root of 12769 is about 23.3732423588.

Multiplying 12769 by its sum of digits (25), we get a square (319225 = 565²).

Multiplying 12769 by its reverse (96721), we get a square (1235030449 = 35143²).

It can be divided in two parts, 127 and 69, that added together give a square (196 = 14²).

The spelling of 12769 in words is "twelve thousand, seven hundred sixty-nine".