509667 has 4 divisors (see below), whose sum is σ = 679560. Its totient is φ = 339776.

The previous prime is 509659. The next prime is 509681. The reversal of 509667 is 766905.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 509667 - 2³ = 509659 is a prime.

It is an Ulam number.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (509647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84942 + ... + 84947.

It is an arithmetic number, because the mean of its divisors is an integer number (169890).

2⁵⁰⁹⁶⁶⁷ is an apocalyptic number.

509667 is a deficient number, since it is larger than the sum of its proper divisors (169893).

509667 is a wasteful number, since it uses less digits than its factorization.

509667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169892.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 509667 is about 713.9096581501. The cubic root of 509667 is about 79.8783045549.

It can be divided in two parts, 509 and 667, that added together give a triangular number (1176 = T₄₈).

The spelling of 509667 in words is "five hundred nine thousand, six hundred sixty-seven".