2005393 has 16 divisors (see below), whose sum is σ = 2378880. Its totient is φ = 1672704.

The previous prime is 2005387. The next prime is 2005397. The reversal of 2005393 is 3935002.

It is a cyclic number.

It is not a de Polignac number, because 2005393 - 2⁹ = 2004881 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005397) 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, 5505 + ... + 5857.

It is an arithmetic number, because the mean of its divisors is an integer number (148680).

2^2005393 is an apocalyptic number.

2005393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2005393 is a deficient number, since it is larger than the sum of its proper divisors (373487).

2005393 is a wasteful number, since it uses less digits than its factorization.

2005393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 2005393 is about 1416.1189921754. The cubic root of 2005393 is about 126.1052492562.

The spelling of 2005393 in words is "two million, five thousand, three hundred ninety-three".