16807 has 6 divisors (see below), whose sum is σ = 19608. Its totient is φ = 14406.

The previous prime is 16787. The next prime is 16811. The reversal of 16807 is 70861.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is not a de Polignac number, because 16807 - 2¹¹ = 14759 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16007) 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 5 ways as a sum of consecutive naturals, for example, 2398 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (3268).

16807 is a Friedman number, since it can be written as (7+0)^6/(8-1), using all its digits and the basic arithmetic operations.

16807 is a deficient number, since it is larger than the sum of its proper divisors (2801).

16807 is an frugal number, since it uses more digits than its factorization.

16807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 16807 is about 129.6418142422. The cubic root of 16807 is about 25.6151399702.

Subtracting from 16807 its product of nonzero digits (336), we obtain a triangular number (16471 = T₁₈₁).

The spelling of 16807 in words is "sixteen thousand, eight hundred seven".