509343 has 12 divisors (see below), whose sum is σ = 702984. Its totient is φ = 328000.

The previous prime is 509329. The next prime is 509359. The reversal of 509343 is 343905.

It is not a de Polignac number, because 509343 - 2⁸ = 509087 is a prime.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4993 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (58582).

2⁵⁰⁹³⁴³ is an apocalyptic number.

509343 is a deficient number, since it is larger than the sum of its proper divisors (193641).

509343 is a wasteful number, since it uses less digits than its factorization.

509343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 509343 is about 713.6827026067. The cubic root of 509343 is about 79.8613745092.

The spelling of 509343 in words is "five hundred nine thousand, three hundred forty-three".