509967 has 6 divisors (see below), whose sum is σ = 736632. Its totient is φ = 339972.

The previous prime is 509963. The next prime is 509989. The reversal of 509967 is 769905.

It is not a de Polignac number, because 509967 - 2² = 509963 is a prime.

509967 is a lucky number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 28323 + ... + 28340.

It is an arithmetic number, because the mean of its divisors is an integer number (122772).

2⁵⁰⁹⁹⁶⁷ is an apocalyptic number.

509967 is a deficient number, since it is larger than the sum of its proper divisors (226665).

509967 is a wasteful number, since it uses less digits than its factorization.

509967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56669 (or 56666 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 509967 is about 714.1197378591. The cubic root of 509967 is about 79.8939741268.

The spelling of 509967 in words is "five hundred nine thousand, nine hundred sixty-seven".