3997993 has 2 divisors, whose sum is σ = 3997994. Its totient is φ = 3997992.

The previous prime is 3997979. The next prime is 3997997.

It is a happy number.

3997993 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., 3968064 + 29929 = 1992^2 + 173^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3997993 - 2¹³ = 3989801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3997997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998996 + 1998997.

It is an arithmetic number, because the mean of its divisors is an integer number (1998997).

Almost surely, 2^3997993 is an apocalyptic number.

It is an amenable number.

3997993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3997993 is an equidigital number, since it uses as much as digits as its factorization.

3997993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 413343, while the sum is 49.

The square root of 3997993 is about 1999.4981870459. The cubic root of 3997993 is about 158.7135514726.

The spelling of 3997993 in words is "three million, nine hundred ninety-seven thousand, nine hundred ninety-three".