2013984017 has 2 divisors, whose sum is σ = 2013984018. Its totient is φ = 2013984016.

The previous prime is 2013983989. The next prime is 2013984031. The reversal of 2013984017 is 7104893102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1845217936 + 168766081 = 42956^2 + 12991^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013984017 - 2¹⁸ = 2013721873 is a prime.

It is a super-2 number, since 2×2013984017² = 8112263241462912578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013984317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006992008 + 1006992009.

It is an arithmetic number, because the mean of its divisors is an integer number (1006992009).

Almost surely, 2^2013984017 is an apocalyptic number.

It is an amenable number.

2013984017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013984017 is an equidigital number, since it uses as much as digits as its factorization.

2013984017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 2013984017 is about 44877.4332710773. The cubic root of 2013984017 is about 1262.8506920031.

The spelling of 2013984017 in words is "two billion, thirteen million, nine hundred eighty-four thousand, seventeen".