16806 has 8 divisors (see below), whose sum is σ = 33624. Its totient is φ = 5600.

The previous prime is 16787. The next prime is 16811. The reversal of 16806 is 60861.

16806 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 7⁵-1.

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

16806 is an admirable number.

It is a Curzon number.

16806 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7 and base 11.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

16806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1395 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (4203).

2¹⁶⁸⁰⁶ is an apocalyptic number.

16806 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812).

16806 is a wasteful number, since it uses less digits than its factorization.

16806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16806 is about 129.6379574045. The cubic root of 16806 is about 25.6146319349.

The spelling of 16806 in words is "sixteen thousand, eight hundred six".