205813361 has 8 divisors (see below), whose sum is σ = 231282240. Its totient is φ = 181721232.

The previous prime is 205813337. The next prime is 205813381. The reversal of 205813361 is 163318502.

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 205813361 - 2¹⁴ = 205796977 is a prime.

It is a super-2 number, since 2×205813361² = 84718279132232642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205813381) 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 7 ways as a sum of consecutive naturals, for example, 343871 + ... + 344468.

It is an arithmetic number, because the mean of its divisors is an integer number (28910280).

Almost surely, 2^205813361 is an apocalyptic number.

It is an amenable number.

205813361 is a deficient number, since it is larger than the sum of its proper divisors (25468879).

205813361 is a wasteful number, since it uses less digits than its factorization.

205813361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688375.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 205813361 is about 14346.1967433881. The cubic root of 205813361 is about 590.4156421965.

The spelling of 205813361 in words is "two hundred five million, eight hundred thirteen thousand, three hundred sixty-one".