16165 has 8 divisors (see below), whose sum is σ = 20088. Its totient is φ = 12480.

The previous prime is 16141. The next prime is 16183. The reversal of 16165 is 56161.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 15876 = 17^2 + 126^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-16165 is a prime.

It is a super-2 number, since 2×16165² = 522614450, which contains 22 as substring.

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

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (2511).

2¹⁶¹⁶⁵ is an apocalyptic number.

It is an amenable number.

16165 is a deficient number, since it is larger than the sum of its proper divisors (3923).

16165 is an equidigital number, since it uses as much as digits as its factorization.

16165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its digits is 180, while the sum is 19.

The square root of 16165 is about 127.1416532848. The cubic root of 16165 is about 25.2847445095.

It can be divided in two parts, 16 and 165, that added together give a palindrome (181).

The spelling of 16165 in words is "sixteen thousand, one hundred sixty-five".