517971 has 4 divisors (see below), whose sum is σ = 690632. Its totient is φ = 345312.

The previous prime is 517967. The next prime is 517981. The reversal of 517971 is 179715.

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

It is not a de Polignac number, because 517971 - 2² = 517967 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 517971.

It is not an unprimeable number, because it can be changed into a prime (517901) 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 3 ways as a sum of consecutive naturals, for example, 86326 + ... + 86331.

It is an arithmetic number, because the mean of its divisors is an integer number (172658).

2⁵¹⁷⁹⁷¹ is an apocalyptic number.

517971 is a deficient number, since it is larger than the sum of its proper divisors (172661).

517971 is a wasteful number, since it uses less digits than its factorization.

517971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172660.

The product of its digits is 2205, while the sum is 30.

The square root of 517971 is about 719.7020216729. The cubic root of 517971 is about 80.3097884240.

The spelling of 517971 in words is "five hundred seventeen thousand, nine hundred seventy-one".