205320241 has 27 divisors (see below), whose sum is σ = 252514731. Its totient is φ = 166445664.

The previous prime is 205320239. The next prime is 205320253. The reversal of 205320241 is 142023502.

205320241 = T₁₄ + T₁₅ + ... + T₁₀₇₁.

The square root of 205320241 is 14329.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39425841 + 165894400 = 6279^2 + 12880^2 .

It is not a de Polignac number, because 205320241 - 2¹ = 205320239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205320221) 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 26 ways as a sum of consecutive naturals, for example, 2306925 + ... + 2307013.

Almost surely, 2^205320241 is an apocalyptic number.

205320241 is the 14329-th square number.

205320241 is the 7165-th centered octagonal number.

It is an amenable number.

205320241 is a deficient number, since it is larger than the sum of its proper divisors (47194490).

205320241 is an frugal number, since it uses more digits than its factorization.

205320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 205320241 is about 589.9437282347.

Adding to 205320241 its reverse (142023502), we get a palindrome (347343743).

The spelling of 205320241 in words is "two hundred five million, three hundred twenty thousand, two hundred forty-one".