505333 has 8 divisors (see below), whose sum is σ = 534528. Its totient is φ = 476784.

The previous prime is 505327. The next prime is 505339. The reversal of 505333 is 333505.

It is an interprime number because it is at equal distance from previous prime (505327) and next prime (505339).

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 505333 - 2⁵ = 505301 is a prime.

It is a super-2 number, since 2×505333² = 510722881778, which contains 22 as substring.

It is a Duffinian number.

505333 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 505333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505339) 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, 2835 + ... + 3007.

It is an arithmetic number, because the mean of its divisors is an integer number (66816).

2⁵⁰⁵³³³ is an apocalyptic number.

It is an amenable number.

505333 is a deficient number, since it is larger than the sum of its proper divisors (29195).

505333 is a wasteful number, since it uses less digits than its factorization.

505333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 675, while the sum is 19.

The square root of 505333 is about 710.8677795483. The cubic root of 505333 is about 79.6512422262.

Adding to 505333 its reverse (333505), we get a palindrome (838838).

It can be divided in two parts, 505 and 333, that added together give a palindrome (838).

The spelling of 505333 in words is "five hundred five thousand, three hundred thirty-three".