16705 has 8 divisors (see below), whose sum is σ = 21672. Its totient is φ = 12288.

The previous prime is 16703. The next prime is 16729. The reversal of 16705 is 50761.

16705 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 13456 = 57^2 + 116^2 .

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

It is a 2-Lehmer number, since φ(16705) divides (16705-1)².

It is a cyclic number.

It is not a de Polignac number, because 16705 - 2¹ = 16703 is a prime.

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

It is a Duffinian number.

16705 is an undulating number in base 16.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

It is a Poulet number, since it divides 2¹⁶⁷⁰⁴-1.

2¹⁶⁷⁰⁵ is an apocalyptic number.

16705 is the 65-th decagonal number.

It is an amenable number.

16705 is a deficient number, since it is larger than the sum of its proper divisors (4967).

16705 is a wasteful number, since it uses less digits than its factorization.

16705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 16705 is about 129.2478239662. The cubic root of 16705 is about 25.5632162149.

The spelling of 16705 in words is "sixteen thousand, seven hundred five".