4006993 has 2 divisors, whose sum is σ = 4006994. Its totient is φ = 4006992.

The previous prime is 4006979. The next prime is 4007021. The reversal of 4006993 is 3996004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3560769 + 446224 = 1887^2 + 668^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006993 - 2⁹ = 4006481 is a prime.

4006993 is a modest number, since divided by 6993 gives 4 as remainder.

It is not a weakly prime, because it can be changed into another prime (4006913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003496 + 2003497.

It is an arithmetic number, because the mean of its divisors is an integer number (2003497).

Almost surely, 2^4006993 is an apocalyptic number.

It is an amenable number.

4006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006993 is an equidigital number, since it uses as much as digits as its factorization.

4006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 4006993 is about 2001.7474865727. The cubic root of 4006993 is about 158.8325571377.

The spelling of 4006993 in words is "four million, six thousand, nine hundred ninety-three".