205609933 has 2 divisors, whose sum is σ = 205609934. Its totient is φ = 205609932.

The previous prime is 205609931. The next prime is 205609969. The reversal of 205609933 is 339906502.

205609933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200420649 + 5189284 = 14157^2 + 2278^2 .

It is a cyclic number.

It is not a de Polignac number, because 205609933 - 2¹ = 205609931 is a prime.

Together with 205609931, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 205609892 and 205609901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205609931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102804966 + 102804967.

It is an arithmetic number, because the mean of its divisors is an integer number (102804967).

Almost surely, 2^205609933 is an apocalyptic number.

It is an amenable number.

205609933 is a deficient number, since it is larger than the sum of its proper divisors (1).

205609933 is an equidigital number, since it uses as much as digits as its factorization.

205609933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 205609933 is about 14339.1050278600. The cubic root of 205609933 is about 590.2210538145.

The spelling of 205609933 in words is "two hundred five million, six hundred nine thousand, nine hundred thirty-three".