505205 has 8 divisors (see below), whose sum is σ = 614400. Its totient is φ = 398736.

The previous prime is 505201. The next prime is 505213. The reversal of 505205 is 502505.

It is a happy number.

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 505205 - 2² = 505201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505201) 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, 245 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (76800).

2⁵⁰⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

505205 is a deficient number, since it is larger than the sum of its proper divisors (109195).

505205 is a wasteful number, since it uses less digits than its factorization.

505205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 250, while the sum is 17.

The square root of 505205 is about 710.7777430393. Note that the first 4 decimals coincide. The cubic root of 505205 is about 79.6445164830.

The spelling of 505205 in words is "five hundred five thousand, two hundred five".