16004 has 6 divisors (see below), whose sum is σ = 28014. Its totient is φ = 8000.

The previous prime is 16001. The next prime is 16007. The reversal of 16004 is 40061.

16004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16001) and next prime (16007).

It can be written as a sum of positive squares in only one way, i.e., 9604 + 6400 = 98^2 + 80^2 .

It is a super-2 number, since 2×16004² = 512256032, which contains 22 as substring.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16004.

It is not an unprimeable number, because it can be changed into a prime (16001) 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 as a sum of consecutive naturals, namely, 1997 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (4669).

2¹⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

16004 is a deficient number, since it is larger than the sum of its proper divisors (12010).

16004 is a wasteful number, since it uses less digits than its factorization.

16004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 16004 is about 126.5069168069. The cubic root of 16004 is about 25.2005206913.

Adding to 16004 its reverse (40061), we get a palindrome (56065).

It can be divided in two parts, 1600 and 4, that multiplied together give a square (6400 = 80²).

The spelling of 16004 in words is "sixteen thousand, four".