205252 has 18 divisors (see below), whose sum is σ = 379358. Its totient is φ = 97152.

The previous prime is 205237. The next prime is 205253. The reversal of 205252 is 252502.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 33856 = 414^2 + 184^2 .

It is not an unprimeable number, because it can be changed into a prime (205253) 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 in 5 ways as a sum of consecutive naturals, for example, 2068 + ... + 2164.

2²⁰⁵²⁵² is an apocalyptic number.

It is an amenable number.

205252 is a deficient number, since it is larger than the sum of its proper divisors (174106).

205252 is a wasteful number, since it uses less digits than its factorization.

205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 205252 is about 453.0474588826. The cubic root of 205252 is about 58.9878362361.

Adding to 205252 its reverse (252502), we get a palindrome (457754).

The spelling of 205252 in words is "two hundred five thousand, two hundred fifty-two".