16836 has 24 divisors (see below), whose sum is σ = 41664. Its totient is φ = 5280.

The previous prime is 16831. The next prime is 16843. The reversal of 16836 is 63861.

16836 is nontrivially palindromic in base 8.

16836 is a nontrivial binomial coefficient, being equal to C(184, 2).

It is not an unprimeable number, because it can be changed into a prime (16831) by changing a digit.

16836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2¹⁶⁸³⁶ is an apocalyptic number.

16836 is the 183-rd triangular number and also the 92-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

16836 is an abundant number, since it is smaller than the sum of its proper divisors (24828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16836 is a wasteful number, since it uses less digits than its factorization.

16836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 16836 is about 129.7536126665. The cubic root of 16836 is about 25.6298642362.

The spelling of 16836 in words is "sixteen thousand, eight hundred thirty-six".