2005031 has 24 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 1542912.

The previous prime is 2005027. The next prime is 2005033. The reversal of 2005031 is 1305002.

It is not a de Polignac number, because 2005031 - 2² = 2005027 is a prime.

It is a super-2 number, since 2×2005031² = 8040298621922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005033) 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 23 ways as a sum of consecutive naturals, for example, 24116 + ... + 24198.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

2^2005031 is an apocalyptic number.

2005031 is a deficient number, since it is larger than the sum of its proper divisors (580489).

2005031 is a wasteful number, since it uses less digits than its factorization.

2005031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 2005031 is about 1415.9911722889. The cubic root of 2005031 is about 126.0976609103.

The spelling of 2005031 in words is "two million, five thousand, thirty-one".