505733 has 8 divisors (see below), whose sum is σ = 544320. Its totient is φ = 468160.

The previous prime is 505727. The next prime is 505759. The reversal of 505733 is 337505.

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 505733 - 2⁶ = 505669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505699 and 505708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505763) 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, 998 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁵⁰⁵⁷³³ is an apocalyptic number.

It is an amenable number.

505733 is a deficient number, since it is larger than the sum of its proper divisors (38587).

505733 is a wasteful number, since it uses less digits than its factorization.

505733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 1575, while the sum is 23.

The square root of 505733 is about 711.1490701674. The cubic root of 505733 is about 79.6722528563.

The spelling of 505733 in words is "five hundred five thousand, seven hundred thirty-three".