10911 has 4 divisors (see below), whose sum is σ = 14552. Its totient is φ = 7272.

The previous prime is 10909. The next prime is 10937. The reversal of 10911 is 11901.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11901 = 3 ⋅3967.

It is not a de Polignac number, because 10911 - 2¹ = 10909 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

10911 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111) 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, 1816 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (3638).

2¹⁰⁹¹¹ is an apocalyptic number.

10911 is a deficient number, since it is larger than the sum of its proper divisors (3641).

10911 is an equidigital number, since it uses as much as digits as its factorization.

10911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 10911 is about 104.4557322506. The cubic root of 10911 is about 22.1796583411.

Subtracting 10911 from its reverse (11901), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 109 and 11, that added together give a triangular number (120 = T₁₅).

The spelling of 10911 in words is "ten thousand, nine hundred eleven".