4039993 has 8 divisors (see below), whose sum is σ = 4184712. Its totient is φ = 3897216.

The previous prime is 4039991. The next prime is 4040009. The reversal of 4039993 is 3999304.

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 2534464 = 1227^2 + 1592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4039993 - 2¹ = 4039991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

4039993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4039991) 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 7 ways as a sum of consecutive naturals, for example, 4671 + ... + 5467.

It is an arithmetic number, because the mean of its divisors is an integer number (523089).

Almost surely, 2^4039993 is an apocalyptic number.

It is an amenable number.

4039993 is a deficient number, since it is larger than the sum of its proper divisors (144719).

4039993 is a wasteful number, since it uses less digits than its factorization.

4039993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 4039993 is about 2009.9733829083. The cubic root of 4039993 is about 159.2673928496.

The spelling of 4039993 in words is "four million, thirty-nine thousand, nine hundred ninety-three".