4013993 has 2 divisors, whose sum is σ = 4013994. Its totient is φ = 4013992.

The previous prime is 4013987. The next prime is 4014001. The reversal of 4013993 is 3993104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2408704 + 1605289 = 1552^2 + 1267^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013993 - 2⁶ = 4013929 is a prime.

It is a super-2 number, since 2×4013993² = 32224279608098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4013953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006996 + 2006997.

It is an arithmetic number, because the mean of its divisors is an integer number (2006997).

Almost surely, 2^4013993 is an apocalyptic number.

It is an amenable number.

4013993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013993 is an equidigital number, since it uses as much as digits as its factorization.

4013993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 4013993 is about 2003.4951959014. The cubic root of 4013993 is about 158.9249939594.

The spelling of 4013993 in words is "four million, thirteen thousand, nine hundred ninety-three".