205427211 has 32 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 119834400.

The previous prime is 205427207. The next prime is 205427227. The reversal of 205427211 is 112724502.

It is not a de Polignac number, because 205427211 - 2² = 205427207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205427231) 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, 99730 + ... + 101768.

It is an arithmetic number, because the mean of its divisors is an integer number (9694080).

Almost surely, 2^205427211 is an apocalyptic number.

205427211 is a deficient number, since it is larger than the sum of its proper divisors (104783349).

205427211 is a wasteful number, since it uses less digits than its factorization.

205427211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 205427211 is about 14332.7321540591. The cubic root of 205427211 is about 590.0461622408.

The spelling of 205427211 in words is "two hundred five million, four hundred twenty-seven thousand, two hundred eleven".