205164405 has 24 divisors (see below), whose sum is σ = 357597240. Its totient is φ = 108812160.

The previous prime is 205164403. The next prime is 205164433. The reversal of 205164405 is 504461502.

205164405 is a `hidden beast` number, since 205 + 16 + 440 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15634116 + 189530289 = 3954^2 + 13767^2 .

It is not a de Polignac number, because 205164405 - 2¹ = 205164403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205164403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4450 + ... + 20739.

It is an arithmetic number, because the mean of its divisors is an integer number (14899885).

Almost surely, 2^205164405 is an apocalyptic number.

It is an amenable number.

205164405 is a deficient number, since it is larger than the sum of its proper divisors (152432835).

205164405 is a wasteful number, since it uses less digits than its factorization.

205164405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25381 (or 25378 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205164405 is about 14323.5611842865. The cubic root of 205164405 is about 589.7944366706.

The spelling of 205164405 in words is "two hundred five million, one hundred sixty-four thousand, four hundred five".