205031 has 2 divisors, whose sum is σ = 205032. Its totient is φ = 205030.

The previous prime is 205019. The next prime is 205033. The reversal of 205031 is 130502.

205031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205031 - 2¹⁰ = 204007 is a prime.

It is a super-2 number, since 2×205031² = 84075421922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 205033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205031.

It is not a weakly prime, because it can be changed into another prime (205033) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102515 + 102516.

It is an arithmetic number, because the mean of its divisors is an integer number (102516).

2²⁰⁵⁰³¹ is an apocalyptic number.

205031 is the 203-rd centered decagonal number.

205031 is a deficient number, since it is larger than the sum of its proper divisors (1).

205031 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 11 representation: 205031 = (130052)₁₁.

205031 is an odious number, because the sum of its binary digits is odd.

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

The square root of 205031 is about 452.8034893858. The cubic root of 205031 is about 58.9666574031.

Adding to 205031 its reverse (130502), we get a palindrome (335533).

Subtracting from 205031 its reverse (130502), we obtain a square (74529 = 273²).

The spelling of 205031 in words is "two hundred five thousand, thirty-one".