16791 has 8 divisors (see below), whose sum is σ = 23280. Its totient is φ = 10752.

The previous prime is 16787. The next prime is 16811. The reversal of 16791 is 19761.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16791 - 2² = 16787 is a prime.

16791 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16741) 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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (2910).

2¹⁶⁷⁹¹ is an apocalyptic number.

16791 is a deficient number, since it is larger than the sum of its proper divisors (6489).

16791 is a wasteful number, since it uses less digits than its factorization.

16791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its digits is 378, while the sum is 24.

The square root of 16791 is about 129.5800910634. The cubic root of 16791 is about 25.6070089858.

The spelling of 16791 in words is "sixteen thousand, seven hundred ninety-one".