205247 has 8 divisors (see below), whose sum is σ = 237600. Its totient is φ = 173664.

The previous prime is 205237. The next prime is 205253. The reversal of 205247 is 742502.

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 205247 - 2¹² = 201151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205247.

It is not an unprimeable number, because it can be changed into a prime (205237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2²⁰⁵²⁴⁷ is an apocalyptic number.

205247 is a deficient number, since it is larger than the sum of its proper divisors (32353).

205247 is a wasteful number, since it uses less digits than its factorization.

205247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 205247 is about 453.0419406633. The cubic root of 205247 is about 58.9873572451.

Adding to 205247 its reverse (742502), we get a palindrome (947749).

The spelling of 205247 in words is "two hundred five thousand, two hundred forty-seven".