2004631 has 2 divisors, whose sum is σ = 2004632. Its totient is φ = 2004630.

The previous prime is 2004601. The next prime is 2004641. The reversal of 2004631 is 1364002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2004631 - 2¹³ = 1996439 is a prime.

It is a super-2 number, since 2×2004631² = 8037090892322, which contains 22 as substring.

It is an Ulam number.

2004631 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002315 + 1002316.

It is an arithmetic number, because the mean of its divisors is an integer number (1002316).

2^2004631 is an apocalyptic number.

2004631 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004631 is an equidigital number, since it uses as much as digits as its factorization.

2004631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2004631 is about 1415.8499214253. The cubic root of 2004631 is about 126.0892749354.

Adding to 2004631 its reverse (1364002), we get a palindrome (3368633).

The spelling of 2004631 in words is "two million, four thousand, six hundred thirty-one".