4000993 has 2 divisors, whose sum is σ = 4000994. Its totient is φ = 4000992.

The previous prime is 4000987. The next prime is 4001003. The reversal of 4000993 is 3990004.

4000993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2331729 + 1669264 = 1527^2 + 1292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000993 is a prime.

4000993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4000093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000496 + 2000497.

It is an arithmetic number, because the mean of its divisors is an integer number (2000497).

Almost surely, 2^4000993 is an apocalyptic number.

It is an amenable number.

4000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000993 is an equidigital number, since it uses as much as digits as its factorization.

4000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 4000993 is about 2000.2482345949. The cubic root of 4000993 is about 158.7532398537.

Adding to 4000993 its reverse (3990004), we get a palindrome (7990997).

The spelling of 4000993 in words is "four million, nine hundred ninety-three", and thus it is an aban number.