10967 has 4 divisors (see below), whose sum is σ = 11976. Its totient is φ = 9960.

The previous prime is 10957. The next prime is 10973. The reversal of 10967 is 76901.

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: 76901 = 11 ⋅6991.

It is a cyclic number.

It is not a de Polignac number, because 10967 - 2⁶ = 10903 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 (10937) 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, 488 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (2994).

10967 is a deficient number, since it is larger than the sum of its proper divisors (1009).

10967 is an equidigital number, since it uses as much as digits as its factorization.

10967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10967 is about 104.7234453215. The cubic root of 10967 is about 22.2175388278.

The spelling of 10967 in words is "ten thousand, nine hundred sixty-seven".