205352405 has 8 divisors (see below), whose sum is σ = 253083192. Its totient is φ = 159841728.

The previous prime is 205352383. The next prime is 205352417. The reversal of 205352405 is 504253502.

It can be written as a sum of positive squares in 4 ways, for example, as 35545444 + 169806961 = 5962^2 + 13031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205352405 - 2²⁰ = 204303829 is a prime.

It is a super-2 number, since 2×205352405² = 84339220478568050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554822 + ... + 555191.

It is an arithmetic number, because the mean of its divisors is an integer number (31635399).

Almost surely, 2^205352405 is an apocalyptic number.

It is an amenable number.

205352405 is a deficient number, since it is larger than the sum of its proper divisors (47730787).

205352405 is a wasteful number, since it uses less digits than its factorization.

205352405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110055.

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 205352405 is about 14330.1222953609. The cubic root of 205352405 is about 589.9745320808.

The spelling of 205352405 in words is "two hundred five million, three hundred fifty-two thousand, four hundred five".