509327 has 16 divisors (see below), whose sum is σ = 651840. Its totient is φ = 387072.

The previous prime is 509317. The next prime is 509329. The reversal of 509327 is 723905.

It is not a de Polignac number, because 509327 - 2⁶ = 509263 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509296 and 509305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2543 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

2⁵⁰⁹³²⁷ is an apocalyptic number.

509327 is a deficient number, since it is larger than the sum of its proper divisors (142513).

509327 is a wasteful number, since it uses less digits than its factorization.

509327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 509327 is about 713.6714930555. The cubic root of 509327 is about 79.8605382716.

The spelling of 509327 in words is "five hundred nine thousand, three hundred twenty-seven".