4004993 has 4 divisors (see below), whose sum is σ = 4009728. Its totient is φ = 4000260.

The previous prime is 4004989. The next prime is 4005019. The reversal of 4004993 is 3994004.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 4004993 - 2² = 4004989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4004933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713 + ... + 2918.

It is an arithmetic number, because the mean of its divisors is an integer number (1002432).

Almost surely, 2^4004993 is an apocalyptic number.

It is an amenable number.

4004993 is a deficient number, since it is larger than the sum of its proper divisors (4735).

4004993 is a wasteful number, since it uses less digits than its factorization.

4004993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 4004993 is about 2001.2478607109. The cubic root of 4004993 is about 158.8061268460.

Adding to 4004993 its reverse (3994004), we get a palindrome (7998997).

The spelling of 4004993 in words is "four million, four thousand, nine hundred ninety-three".