509934 has 16 divisors (see below), whose sum is σ = 1047888. Its totient is φ = 165312.

The previous prime is 509921. The next prime is 509939. The reversal of 509934 is 439905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509939) by changing a digit.

509934 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (65493).

2⁵⁰⁹⁹³⁴ is an apocalyptic number.

509934 is an abundant number, since it is smaller than the sum of its proper divisors (537954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509934 is a wasteful number, since it uses less digits than its factorization.

509934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 509934 is about 714.0966321164. The cubic root of 509934 is about 79.8922507748.

The spelling of 509934 in words is "five hundred nine thousand, nine hundred thirty-four".