2004001 has 2 divisors, whose sum is σ = 2004002. Its totient is φ = 2004000.

The previous prime is 2003999. The next prime is 2004007. The reversal of 2004001 is 1004002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 564001 = 1200^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004001 - 2¹ = 2003999 is a prime.

Together with 2003999, it forms a pair of twin primes.

It is an Ulam number.

2004001 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002000 + 1002001.

It is an arithmetic number, because the mean of its divisors is an integer number (1002001).

2^2004001 is an apocalyptic number.

It is an amenable number.

2004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004001 is an equidigital number, since it uses as much as digits as its factorization.

2004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2004001 is about 1415.6274227352. The cubic root of 2004001 is about 126.0760647625.

Adding to 2004001 its reverse (1004002), we get a palindrome (3008003).

Subtracting from 2004001 its reverse (1004002), we obtain a palindrome (999999).

The spelling of 2004001 in words is "two million, four thousand, one".