4005393 has 16 divisors (see below), whose sum is σ = 6314880. Its totient is φ = 2209536.

The previous prime is 4005377. The next prime is 4005433. The reversal of 4005393 is 3935004.

4005393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4005393 - 2⁴ = 4005377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4005343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2680 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (394680).

Almost surely, 2^4005393 is an apocalyptic number.

It is an amenable number.

4005393 is a deficient number, since it is larger than the sum of its proper divisors (2309487).

4005393 is a wasteful number, since it uses less digits than its factorization.

4005393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 4005393 is about 2001.3477958616. The cubic root of 4005393 is about 158.8114136082.

The spelling of 4005393 in words is "four million, five thousand, three hundred ninety-three".