517005 has 12 divisors (see below), whose sum is σ = 896220. Its totient is φ = 275712.

The previous prime is 517003. The next prime is 517043. The reversal of 517005 is 500715.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 367236 = 387^2 + 606^2 .

It is not a de Polignac number, because 517005 - 2¹ = 517003 is a prime.

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 517005.

It is not an unprimeable number, because it can be changed into a prime (517003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5700 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (74685).

2⁵¹⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

517005 is a deficient number, since it is larger than the sum of its proper divisors (379215).

517005 is a wasteful number, since it uses less digits than its factorization.

517005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11500 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 517005 is about 719.0305974018. The cubic root of 517005 is about 80.2598322596.

Subtracting from 517005 its reverse (500715), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 51 and 7005, that added together give a square (7056 = 84²).

The spelling of 517005 in words is "five hundred seventeen thousand, five".