509747 has 12 divisors (see below), whose sum is σ = 604656. Its totient is φ = 428400.

The previous prime is 509741. The next prime is 509767. The reversal of 509747 is 747905.

It is not a de Polignac number, because 509747 - 2⁴ = 509731 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (509741) 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, 4898 + ... + 5000.

It is an arithmetic number, because the mean of its divisors is an integer number (50388).

2⁵⁰⁹⁷⁴⁷ is an apocalyptic number.

509747 is a deficient number, since it is larger than the sum of its proper divisors (94909).

509747 is a wasteful number, since it uses less digits than its factorization.

509747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 509747 is about 713.9656854499. The cubic root of 509747 is about 79.8824837085.

The spelling of 509747 in words is "five hundred nine thousand, seven hundred forty-seven".