10966 has 4 divisors (see below), whose sum is σ = 16452. Its totient is φ = 5482.

The previous prime is 10957. The next prime is 10973. The reversal of 10966 is 66901.

10966 = T₈₄ + T₈₅ + T₈₆.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66901 = 149 ⋅449.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2740 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (4113).

2¹⁰⁹⁶⁶ is an apocalyptic number.

10966 is the 86-th centered triangular number.

10966 is a deficient number, since it is larger than the sum of its proper divisors (5486).

10966 is an equidigital number, since it uses as much as digits as its factorization.

10966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10966 is about 104.7186707326. The cubic root of 10966 is about 22.2168635227.

The spelling of 10966 in words is "ten thousand, nine hundred sixty-six".