3998993 has 2 divisors, whose sum is σ = 3998994. Its totient is φ = 3998992.

The previous prime is 3998983. The next prime is 3998999.

3998993 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2795584 + 1203409 = 1672^2 + 1097^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3998993 - 2⁸ = 3998737 is a prime.

It is not a weakly prime, because it can be changed into another prime (3998999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1999496 + 1999497.

It is an arithmetic number, because the mean of its divisors is an integer number (1999497).

Almost surely, 2^3998993 is an apocalyptic number.

It is an amenable number.

3998993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3998993 is an equidigital number, since it uses as much as digits as its factorization.

3998993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 472392, while the sum is 50.

The square root of 3998993 is about 1999.7482341535. The cubic root of 3998993 is about 158.7267831383.

The spelling of 3998993 in words is "three million, nine hundred ninety-eight thousand, nine hundred ninety-three".