205466121 has 24 divisors (see below), whose sum is σ = 340179840. Its totient is φ = 117063936.

The previous prime is 205466113. The next prime is 205466137. The reversal of 205466121 is 121664502.

205466121 is a `hidden beast` number, since 2 + 0 + 5 + 46 + 612 + 1 = 666.

It is not a de Polignac number, because 205466121 - 2³ = 205466113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205466101) 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 23 ways as a sum of consecutive naturals, for example, 17620 + ... + 26858.

It is an arithmetic number, because the mean of its divisors is an integer number (14174160).

Almost surely, 2^205466121 is an apocalyptic number.

205466121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205466121 is a deficient number, since it is larger than the sum of its proper divisors (134713719).

205466121 is a wasteful number, since it uses less digits than its factorization.

205466121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205466121 is about 14334.0894723034. The cubic root of 205466121 is about 590.0834134675.

The spelling of 205466121 in words is "two hundred five million, four hundred sixty-six thousand, one hundred twenty-one".