509671 has 8 divisors (see below), whose sum is σ = 540288. Its totient is φ = 480000.

The previous prime is 509659. The next prime is 509681. The reversal of 509671 is 176905.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 8-Lehmer number, since φ(509671) divides (509671-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 509671 - 2⁷ = 509543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1071 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (67536).

2⁵⁰⁹⁶⁷¹ is an apocalyptic number.

509671 is a deficient number, since it is larger than the sum of its proper divisors (30617).

509671 is a wasteful number, since it uses less digits than its factorization.

509671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 509671 is about 713.9124596195. The cubic root of 509671 is about 79.8785135230.

The spelling of 509671 in words is "five hundred nine thousand, six hundred seventy-one".