509643 has 12 divisors (see below), whose sum is σ = 779688. Its totient is φ = 319680.

The previous prime is 509633. The next prime is 509647. The reversal of 509643 is 346905.

It is a happy number.

It is not a de Polignac number, because 509643 - 2¹⁰ = 508619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1513 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (64974).

2⁵⁰⁹⁶⁴³ is an apocalyptic number.

509643 is a deficient number, since it is larger than the sum of its proper divisors (270045).

509643 is a wasteful number, since it uses less digits than its factorization.

509643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 509643 is about 713.8928491027. The cubic root of 509643 is about 79.8770507236.

The spelling of 509643 in words is "five hundred nine thousand, six hundred forty-three".