4007993 has 16 divisors (see below), whose sum is σ = 4669440. Its totient is φ = 3402000.

The previous prime is 4007981. The next prime is 4007999. The reversal of 4007993 is 3997004.

It is a happy number.

4007993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4007993 - 2¹⁰ = 4006969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4007999) 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 in 15 ways as a sum of consecutive naturals, for example, 26468 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (291840).

Almost surely, 2^4007993 is an apocalyptic number.

It is an amenable number.

4007993 is a deficient number, since it is larger than the sum of its proper divisors (661447).

4007993 is a wasteful number, since it uses less digits than its factorization.

4007993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 4007993 is about 2001.9972527454. The cubic root of 4007993 is about 158.8457689856.

The spelling of 4007993 in words is "four million, seven thousand, nine hundred ninety-three".