16813 has 8 divisors (see below), whose sum is σ = 19008. Its totient is φ = 14784.

The previous prime is 16811. The next prime is 16823. The reversal of 16813 is 31861.

16813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 16813 - 2¹ = 16811 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16811) 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, 370 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (2376).

2¹⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

16813 is a deficient number, since it is larger than the sum of its proper divisors (2195).

16813 is a wasteful number, since it uses less digits than its factorization.

16813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

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

The square root of 16813 is about 129.6649528593. The cubic root of 16813 is about 25.6181877589.

It can be divided in two parts, 168 and 13, that added together give a palindrome (181).

The spelling of 16813 in words is "sixteen thousand, eight hundred thirteen".