16005 has 16 divisors (see below), whose sum is σ = 28224. Its totient is φ = 7680.

The previous prime is 16001. The next prime is 16007. The reversal of 16005 is 50061.

Added to its reverse (50061) it gives a triangular number (66066 = T₃₆₃).

It is not a de Polignac number, because 16005 - 2² = 16001 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16005.

It is not an unprimeable number, because it can be changed into a prime (16001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹⁶⁰⁰⁵ is an apocalyptic number.

16005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16005 is a deficient number, since it is larger than the sum of its proper divisors (12219).

16005 is a wasteful number, since it uses less digits than its factorization.

16005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 16005 is about 126.5108690983. The cubic root of 16005 is about 25.2010455600.

Adding to 16005 its reverse (50061), we get a palindrome (66066).

It can be divided in two parts, 1600 and 5, that multiplied together give a cube (8000 = 20³).

The spelling of 16005 in words is "sixteen thousand, five".