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2004 = 223167

2004 has 12 divisors (see below), whose sum is σ = 4704. Its totient is φ = 664.

The previous prime is 2003. The next prime is 2011. The reversal of 2004 is 4002.

Adding to 2004 its reverse (4002), we get a palindrome (6006).

2004 = T5 + T6 + ... + T22.

It is a tau number, because it is divible by the number of its divisors (12).



It is a plaindrome in base 9.

It is a nialpdrome in base 13 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1983 and 2001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003) by changing a digit.


It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (392).

22004 is an apocalyptic number.

It is an amenable number.

2004 is an abundant number, since it is smaller than the sum of its proper divisors (2700).


It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352).

2004 is a wasteful number, since it uses less digits than its factorization.

2004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).


The square root of 2004 is about 44.7660585712. The cubic root of 2004 is about 12.6076043792.

The spelling of 2004 in words is "two thousand, four", and thus it is an eban number and an iban number.

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004