16709 has 12 divisors (see below), whose sum is σ = 21888. Its totient is φ = 12600.

The previous prime is 16703. The next prime is 16729. The reversal of 16709 is 90761.

It is a happy number.

It is not a de Polignac number, because 16709 - 2⁴ = 16693 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 524 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

2¹⁶⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

16709 is a deficient number, since it is larger than the sum of its proper divisors (5179).

16709 is a wasteful number, since it uses less digits than its factorization.

16709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 16709 is about 129.2632971883. The cubic root of 16709 is about 25.5652564165.

The spelling of 16709 in words is "sixteen thousand, seven hundred nine".