2004114311 has 2 divisors, whose sum is σ = 2004114312. Its totient is φ = 2004114310.

The previous prime is 2004114289. The next prime is 2004114341. The reversal of 2004114311 is 1134114002.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2004114311 - 2⁶ = 2004114247 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2004114311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004114341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002057155 + 1002057156.

It is an arithmetic number, because the mean of its divisors is an integer number (1002057156).

Almost surely, 2^2004114311 is an apocalyptic number.

2004114311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004114311 is an equidigital number, since it uses as much as digits as its factorization.

2004114311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2004114311 is about 44767.3353127032. The cubic root of 2004114311 is about 1260.7844093162.

Adding to 2004114311 its reverse (1134114002), we get a palindrome (3138228313).

The spelling of 2004114311 in words is "two billion, four million, one hundred fourteen thousand, three hundred eleven".