2005181 has 2 divisors, whose sum is σ = 2005182. Its totient is φ = 2005180.

The previous prime is 2005151. The next prime is 2005183. The reversal of 2005181 is 1815002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1779556 + 225625 = 1334^2 + 475^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005181 - 2¹⁴ = 1988797 is a prime.

It is a super-2 number, since 2×2005181² = 8041501685522, which contains 22 as substring.

Together with 2005183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005183) 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 as a sum of consecutive naturals, namely, 1002590 + 1002591.

It is an arithmetic number, because the mean of its divisors is an integer number (1002591).

2^2005181 is an apocalyptic number.

It is an amenable number.

2005181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005181 is an equidigital number, since it uses as much as digits as its factorization.

2005181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2005181 is about 1416.0441377302. The cubic root of 2005181 is about 126.1008053633.

The spelling of 2005181 in words is "two million, five thousand, one hundred eighty-one".