505833 has 8 divisors (see below), whose sum is σ = 681408. Its totient is φ = 333744.

The previous prime is 505823. The next prime is 505867. The reversal of 505833 is 338505.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 505833 - 2⁹ = 505321 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

505833 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505833.

It is not an unprimeable number, because it can be changed into a prime (505823) 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, 510 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2⁵⁰⁵⁸³³ is an apocalyptic number.

It is an amenable number.

505833 is a deficient number, since it is larger than the sum of its proper divisors (175575).

505833 is a wasteful number, since it uses less digits than its factorization.

505833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 505833 is about 711.2193754391. The cubic root of 505833 is about 79.6775037826.

The spelling of 505833 in words is "five hundred five thousand, eight hundred thirty-three".