509745 has 16 divisors (see below), whose sum is σ = 864000. Its totient is φ = 255744.

The previous prime is 509741. The next prime is 509767. The reversal of 509745 is 547905.

It is not a de Polignac number, because 509745 - 2² = 509741 is a prime.

509745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (509741) 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 15 ways as a sum of consecutive naturals, for example, 745 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁵⁰⁹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

509745 is a deficient number, since it is larger than the sum of its proper divisors (354255).

509745 is a wasteful number, since it uses less digits than its factorization.

509745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 509745 is about 713.9642848210. The cubic root of 509745 is about 79.8823792350.

The spelling of 509745 in words is "five hundred nine thousand, seven hundred forty-five".