16831 has 2 divisors, whose sum is σ = 16832. Its totient is φ = 16830.

The previous prime is 16829. The next prime is 16843. The reversal of 16831 is 13861.

16831 is nontrivially palindromic in base 11.

16831 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 16831 - 2¹ = 16829 is a prime.

It is a super-2 number, since 2×16831² = 566565122, which contains 22 as substring.

Together with 16829, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 16799 and 16808.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8415 + 8416.

It is an arithmetic number, because the mean of its divisors is an integer number (8416).

2¹⁶⁸³¹ is an apocalyptic number.

16831 is a deficient number, since it is larger than the sum of its proper divisors (1).

16831 is an equidigital number, since it uses as much as digits as its factorization.

16831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

The square root of 16831 is about 129.7343439495. The cubic root of 16831 is about 25.6273267766.

The spelling of 16831 in words is "sixteen thousand, eight hundred thirty-one".