509847 has 16 divisors (see below), whose sum is σ = 776160. Its totient is φ = 294912.

The previous prime is 509843. The next prime is 509863. The reversal of 509847 is 748905.

It is not a de Polignac number, because 509847 - 2² = 509843 is a prime.

509847 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509843) 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 15 ways as a sum of consecutive naturals, for example, 279 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁵⁰⁹⁸⁴⁷ is an apocalyptic number.

509847 is a deficient number, since it is larger than the sum of its proper divisors (266313).

509847 is a wasteful number, since it uses less digits than its factorization.

509847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 509847 is about 714.0357133925. The cubic root of 509847 is about 79.8877070357.

The spelling of 509847 in words is "five hundred nine thousand, eight hundred forty-seven".