517089 has 8 divisors (see below), whose sum is σ = 730080. Its totient is φ = 324416.

The previous prime is 517087. The next prime is 517091. The reversal of 517089 is 980715.

It is an interprime number because it is at equal distance from previous prime (517087) and next prime (517091).

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

It is a cyclic number.

It is not a de Polignac number, because 517089 - 2¹ = 517087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (517081) 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, 5019 + ... + 5120.

It is an arithmetic number, because the mean of its divisors is an integer number (91260).

2⁵¹⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

517089 is a deficient number, since it is larger than the sum of its proper divisors (212991).

517089 is a wasteful number, since it uses less digits than its factorization.

517089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 517089 is about 719.0890070082. The cubic root of 517089 is about 80.2641787430.

It can be divided in two parts, 51 and 7089, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 517089 in words is "five hundred seventeen thousand, eighty-nine".