12761 has 4 divisors (see below), whose sum is σ = 14592. Its totient is φ = 10932.

The previous prime is 12757. The next prime is 12763. The reversal of 12761 is 16721.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16721 = 23 ⋅727.

It is a cyclic number.

It is not a de Polignac number, because 12761 - 2² = 12757 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763) 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, 905 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (3648).

2¹²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

12761 is a deficient number, since it is larger than the sum of its proper divisors (1831).

12761 is an equidigital number, since it uses as much as digits as its factorization.

12761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830.

The product of its digits is 84, while the sum is 17.

The square root of 12761 is about 112.9645962238. The cubic root of 12761 is about 23.3683600918.

The spelling of 12761 in words is "twelve thousand, seven hundred sixty-one".