509827 has 4 divisors (see below), whose sum is σ = 536680. Its totient is φ = 482976.

The previous prime is 509801. The next prime is 509833. The reversal of 509827 is 728905.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 509827 - 2⁷ = 509699 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (509837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13398 + ... + 13435.

It is an arithmetic number, because the mean of its divisors is an integer number (134170).

2⁵⁰⁹⁸²⁷ is an apocalyptic number.

509827 is a deficient number, since it is larger than the sum of its proper divisors (26853).

509827 is a wasteful number, since it uses less digits than its factorization.

509827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26852.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 509827 is about 714.0217083535. The cubic root of 509827 is about 79.8866624249.

Subtracting from 509827 its sum of digits (31), we obtain a square (509796 = 714²).

The spelling of 509827 in words is "five hundred nine thousand, eight hundred twenty-seven".