4004013 has 8 divisors (see below), whose sum is σ = 5749408. Its totient is φ = 2463984.

The previous prime is 4004009. The next prime is 4004023. The reversal of 4004013 is 3104004.

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

It is not a de Polignac number, because 4004013 - 2² = 4004009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51295 + ... + 51372.

It is an arithmetic number, because the mean of its divisors is an integer number (718676).

Almost surely, 2^4004013 is an apocalyptic number.

It is an amenable number.

4004013 is a deficient number, since it is larger than the sum of its proper divisors (1745395).

4004013 is a wasteful number, since it uses less digits than its factorization.

4004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102683.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4004013 is about 2001.0029984985. The cubic root of 4004013 is about 158.7931727909.

Subtracting from 4004013 its sum of digits (12), we obtain a square (4004001 = 2001²).

Adding to 4004013 its reverse (3104004), we get a palindrome (7108017).

Subtracting from 4004013 its reverse (3104004), we obtain a palindrome (900009).

The spelling of 4004013 in words is "four million, four thousand, thirteen".