205236993 has 32 divisors (see below), whose sum is σ = 312197760. Its totient is φ = 118886400.

The previous prime is 205236991. The next prime is 205237007. The reversal of 205236993 is 399632502.

It is not a de Polignac number, because 205236993 - 2¹ = 205236991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (205236991) 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 31 ways as a sum of consecutive naturals, for example, 127393 + ... + 128993.

It is an arithmetic number, because the mean of its divisors is an integer number (9756180).

Almost surely, 2^205236993 is an apocalyptic number.

It is an amenable number.

205236993 is a deficient number, since it is larger than the sum of its proper divisors (106960767).

205236993 is a wasteful number, since it uses less digits than its factorization.

205236993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809.

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 205236993 is about 14326.0948272724. The cubic root of 205236993 is about 589.8639856916.

The spelling of 205236993 in words is "two hundred five million, two hundred thirty-six thousand, nine hundred ninety-three".