4000013 has 4 divisors (see below), whose sum is σ = 4210560. Its totient is φ = 3789468.

The previous prime is 3999971. The next prime is 4000037. The reversal of 4000013 is 3100004.

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.

It is a cyclic number.

It is not a de Polignac number, because 4000013 - 2⁶ = 3999949 is a prime.

It is a Duffinian number.

4000013 is a modest number, since divided by 13 gives 4 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000043) 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, 105245 + ... + 105282.

It is an arithmetic number, because the mean of its divisors is an integer number (1052640).

Almost surely, 2^4000013 is an apocalyptic number.

It is an amenable number.

4000013 is a deficient number, since it is larger than the sum of its proper divisors (210547).

4000013 is a wasteful number, since it uses less digits than its factorization.

4000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210546.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4000013 is about 2000.0032499974. The cubic root of 4000013 is about 158.7402771651.

Adding to 4000013 its reverse (3100004), we get a palindrome (7100017).

Subtracting from 4000013 its reverse (3100004), we obtain a palindrome (900009).

It can be divided in two parts, 400001 and 3, that added together give a palindrome (400004).

The spelling of 4000013 in words is "four million, thirteen", and thus it is an aban number.