10971 has 12 divisors (see below), whose sum is σ = 16848. Its totient is φ = 6864.

The previous prime is 10957. The next prime is 10973. The reversal of 10971 is 17901.

It is not a de Polignac number, because 10971 - 2⁵ = 10939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

2¹⁰⁹⁷¹ is an apocalyptic number.

10971 is a deficient number, since it is larger than the sum of its proper divisors (5877).

10971 is a wasteful number, since it uses less digits than its factorization.

10971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10971 is about 104.7425415006. The cubic root of 10971 is about 22.2202396379.

The spelling of 10971 in words is "ten thousand, nine hundred seventy-one".