4005713 has 4 divisors (see below), whose sum is σ = 4216560. Its totient is φ = 3794868.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005713 is 3175004.

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.

It is a cyclic number.

It is not a de Polignac number, because 4005713 - 2⁶ = 4005649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4005733) 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 3 ways as a sum of consecutive naturals, for example, 105395 + ... + 105432.

It is an arithmetic number, because the mean of its divisors is an integer number (1054140).

Almost surely, 2^4005713 is an apocalyptic number.

It is an amenable number.

4005713 is a deficient number, since it is larger than the sum of its proper divisors (210847).

4005713 is a wasteful number, since it uses less digits than its factorization.

4005713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210846.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 4005713 is about 2001.4277403893. The cubic root of 4005713 is about 158.8156427645.

The spelling of 4005713 in words is "four million, five thousand, seven hundred thirteen".