205040693 has 16 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 171756480.

The previous prime is 205040683. The next prime is 205040747. The reversal of 205040693 is 396040502.

It is a cyclic number.

It is not a de Polignac number, because 205040693 - 2²⁴ = 188263477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205040683) 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 in 15 ways as a sum of consecutive naturals, for example, 119123 + ... + 120831.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^205040693 is an apocalyptic number.

It is an amenable number.

205040693 is a deficient number, since it is larger than the sum of its proper divisors (36274507).

205040693 is a wasteful number, since it uses less digits than its factorization.

205040693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 205040693 is about 14319.2420539636. The cubic root of 205040693 is about 589.6758662004.

The spelling of 205040693 in words is "two hundred five million, forty thousand, six hundred ninety-three".