4000598993 has 2 divisors, whose sum is σ = 4000598994. Its totient is φ = 4000598992.

The previous prime is 4000598971. The next prime is 4000598999. The reversal of 4000598993 is 3998950004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2081458129 + 1919140864 = 45623^2 + 43808^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000598993 - 2¹⁴ = 4000582609 is a prime.

It is a super-2 number, since 2×4000598993² = 32009584605585228098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4000598999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000299496 + 2000299497.

It is an arithmetic number, because the mean of its divisors is an integer number (2000299497).

Almost surely, 2^4000598993 is an apocalyptic number.

It is an amenable number.

4000598993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000598993 is an equidigital number, since it uses as much as digits as its factorization.

4000598993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 4000598993 is about 63250.2884815556. The cubic root of 4000598993 is about 1587.4802848565.

The spelling of 4000598993 in words is "four billion, five hundred ninety-eight thousand, nine hundred ninety-three".