505743 has 8 divisors (see below), whose sum is σ = 770688. Its totient is φ = 288984.

The previous prime is 505727. The next prime is 505759. The reversal of 505743 is 347505.

It is an interprime number because it is at equal distance from previous prime (505727) and next prime (505759).

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

It is not a de Polignac number, because 505743 - 2⁴ = 505727 is a prime.

505743 is a lucky number.

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, 12021 + ... + 12062.

It is an arithmetic number, because the mean of its divisors is an integer number (96336).

2⁵⁰⁵⁷⁴³ is an apocalyptic number.

505743 is a deficient number, since it is larger than the sum of its proper divisors (264945).

505743 is a wasteful number, since it uses less digits than its factorization.

505743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24093.

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 505743 is about 711.1561010074. The cubic root of 505743 is about 79.6727779801.

The spelling of 505743 in words is "five hundred five thousand, seven hundred forty-three".