4017993 has 16 divisors (see below), whose sum is σ = 6208896. Its totient is φ = 2263680.

The previous prime is 4017991. The next prime is 4017997. The reversal of 4017993 is 3997104.

It is not a de Polignac number, because 4017993 - 2¹ = 4017991 is a prime.

It is a super-2 number, since 2×4017993² = 32288535496098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4017991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (388056).

Almost surely, 2^4017993 is an apocalyptic number.

It is an amenable number.

4017993 is a deficient number, since it is larger than the sum of its proper divisors (2190903).

4017993 is a wasteful number, since it uses less digits than its factorization.

4017993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 4017993 is about 2004.4932027822. The cubic root of 4017993 is about 158.9777667579.

The spelling of 4017993 in words is "four million, seventeen thousand, nine hundred ninety-three".