205345361 has 8 divisors (see below), whose sum is σ = 221582760. Its totient is φ = 189171072.

The previous prime is 205345321. The next prime is 205345367. The reversal of 205345361 is 163543502.

It can be written as a sum of positive squares in 4 ways, for example, as 39450961 + 165894400 = 6281^2 + 12880^2 .

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 205345361 - 2²² = 201151057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205345367) 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, 8900 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (27697845).

Almost surely, 2^205345361 is an apocalyptic number.

It is an amenable number.

205345361 is a deficient number, since it is larger than the sum of its proper divisors (16237399).

205345361 is a wasteful number, since it uses less digits than its factorization.

205345361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31555.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 205345361 is about 14329.8765172628. The cubic root of 205345361 is about 589.9677862331.

Adding to 205345361 its reverse (163543502), we get a palindrome (368888863).

The spelling of 205345361 in words is "two hundred five million, three hundred forty-five thousand, three hundred sixty-one".