2005311 has 16 divisors (see below), whose sum is σ = 3333888. Its totient is φ = 1041600.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005311 is 1135002.

It is not a de Polignac number, because 2005311 - 2⁷ = 2005183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110 + ... + 4571.

It is an arithmetic number, because the mean of its divisors is an integer number (208368).

2^2005311 is an apocalyptic number.

2005311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005311 is a deficient number, since it is larger than the sum of its proper divisors (1328577).

2005311 is a wasteful number, since it uses less digits than its factorization.

2005311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 2005311 is about 1416.0900395102. The cubic root of 2005311 is about 126.1035304291.

The spelling of 2005311 in words is "two million, five thousand, three hundred eleven".