509966 has 16 divisors (see below), whose sum is σ = 828144. Its totient is φ = 234624.

The previous prime is 509963. The next prime is 509989. The reversal of 509966 is 669905.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509966.

It is not an unprimeable number, because it can be changed into a prime (509963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (51759).

2⁵⁰⁹⁹⁶⁶ is an apocalyptic number.

509966 is a deficient number, since it is larger than the sum of its proper divisors (318178).

509966 is a wasteful number, since it uses less digits than its factorization.

509966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 509966 is about 714.1190376961. The cubic root of 509966 is about 79.8939219051.

The spelling of 509966 in words is "five hundred nine thousand, nine hundred sixty-six".