12967 has 2 divisors, whose sum is σ = 12968. Its totient is φ = 12966.

The previous prime is 12959. The next prime is 12973. The reversal of 12967 is 76921.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12967 - 2³ = 12959 is a prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6483 + 6484.

It is an arithmetic number, because the mean of its divisors is an integer number (6484).

2¹²⁹⁶⁷ is an apocalyptic number.

12967 is a deficient number, since it is larger than the sum of its proper divisors (1).

12967 is an equidigital number, since it uses as much as digits as its factorization.

12967 is an evil number, because the sum of its binary digits is even.

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

The square root of 12967 is about 113.8727359819. The cubic root of 12967 is about 23.4934341095.

It can be divided in two parts, 129 and 67, that added together give a square (196 = 14²).

The spelling of 12967 in words is "twelve thousand, nine hundred sixty-seven".