12767 has 4 divisors (see below), whose sum is σ = 13536. Its totient is φ = 12000.

The previous prime is 12763. The next prime is 12781. The reversal of 12767 is 76721.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76721 = 17 ⋅4513.

It is a cyclic number.

It is not a de Polignac number, because 12767 - 2² = 12763 is a prime.

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

It is a Duffinian number.

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, 359 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (3384).

2¹²⁷⁶⁷ is an apocalyptic number.

12767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12767 is a deficient number, since it is larger than the sum of its proper divisors (769).

12767 is an equidigital number, since it uses as much as digits as its factorization.

12767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768.

The product of its digits is 588, while the sum is 23.

The square root of 12767 is about 112.9911500959. The cubic root of 12767 is about 23.3720219833.

The spelling of 12767 in words is "twelve thousand, seven hundred sixty-seven".