10791 has 12 divisors (see below), whose sum is σ = 17160. Its totient is φ = 6480.

The previous prime is 10789. The next prime is 10799. The reversal of 10791 is 19701.

10791 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10791 - 2¹ = 10789 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1430).

2¹⁰⁷⁹¹ is an apocalyptic number.

10791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10791 is the 66-th heptagonal number.

10791 is a deficient number, since it is larger than the sum of its proper divisors (6369).

10791 is a wasteful number, since it uses less digits than its factorization.

10791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

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

The square root of 10791 is about 103.8797381591. The cubic root of 10791 is about 22.0980472330.

The spelling of 10791 in words is "ten thousand, seven hundred ninety-one".