205242033 has 16 divisors (see below), whose sum is σ = 277299200. Its totient is φ = 135018576.

The previous prime is 205242031. The next prime is 205242049. The reversal of 205242033 is 330242502.

It is not a de Polignac number, because 205242033 - 2¹ = 205242031 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205242031) 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 in 15 ways as a sum of consecutive naturals, for example, 74466 + ... + 77172.

It is an arithmetic number, because the mean of its divisors is an integer number (17331200).

Almost surely, 2^205242033 is an apocalyptic number.

It is an amenable number.

205242033 is a deficient number, since it is larger than the sum of its proper divisors (72057167).

205242033 is a wasteful number, since it uses less digits than its factorization.

205242033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 205242033 is about 14326.2707289790. The cubic root of 205242033 is about 589.8688140774.

Adding to 205242033 its reverse (330242502), we get a palindrome (535484535).

The spelling of 205242033 in words is "two hundred five million, two hundred forty-two thousand, thirty-three".