505857 has 8 divisors (see below), whose sum is σ = 735840. Its totient is φ = 306560.

The previous prime is 505823. The next prime is 505867. The reversal of 505857 is 758505.

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 505857 - 2⁸ = 505601 is a prime.

It is a super-3 number, since 3×505857³ = 388333222783973379, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505857.

It is not an unprimeable number, because it can be changed into a prime (505867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7632 + ... + 7697.

It is an arithmetic number, because the mean of its divisors is an integer number (91980).

It is a Proth number, since it is equal to 247 ⋅ 2¹¹ + 1 and 247 < 2¹¹.

2⁵⁰⁵⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

505857 is a deficient number, since it is larger than the sum of its proper divisors (229983).

505857 is a wasteful number, since it uses less digits than its factorization.

505857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15343.

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 505857 is about 711.2362476702. The cubic root of 505857 is about 79.6787639020.

It can be divided in two parts, 5058 and 57, that added together give a palindrome (5115).

The spelling of 505857 in words is "five hundred five thousand, eight hundred fifty-seven".