205224031 has 2 divisors, whose sum is σ = 205224032. Its totient is φ = 205224030.

The previous prime is 205224029. The next prime is 205224049. The reversal of 205224031 is 130422502.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205224031 - 2¹ = 205224029 is a prime.

It is a super-2 number, since 2×205224031² = 84233805799777922, which contains 22 as substring.

Together with 205224029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205224011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102612015 + 102612016.

It is an arithmetic number, because the mean of its divisors is an integer number (102612016).

Almost surely, 2^205224031 is an apocalyptic number.

205224031 is a deficient number, since it is larger than the sum of its proper divisors (1).

205224031 is an equidigital number, since it uses as much as digits as its factorization.

205224031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205224031 is about 14325.6424288756. The cubic root of 205224031 is about 589.8515675632.

Adding to 205224031 its reverse (130422502), we get a palindrome (335646533).

The spelling of 205224031 in words is "two hundred five million, two hundred twenty-four thousand, thirty-one".