205201 has 2 divisors, whose sum is σ = 205202. Its totient is φ = 205200.

The previous prime is 205187. The next prime is 205211. The reversal of 205201 is 102502.

It is an a-pointer prime, because the next prime (205211) can be obtained adding 205201 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201601 + 3600 = 449^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 205201 - 2¹³ = 197009 is a prime.

It is not a weakly prime, because it can be changed into another prime (205211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102600 + 102601.

It is an arithmetic number, because the mean of its divisors is an integer number (102601).

2²⁰⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

205201 is a deficient number, since it is larger than the sum of its proper divisors (1).

205201 is an equidigital number, since it uses as much as digits as its factorization.

205201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 205201 is about 452.9911698919. The cubic root of 205201 is about 58.9829501629.

Adding to 205201 its reverse (102502), we get a palindrome (307703).

It can be divided in two parts, 205 and 201, that added together give a triangular number (406 = T₂₈).

The spelling of 205201 in words is "two hundred five thousand, two hundred one".