517997 has 8 divisors (see below), whose sum is σ = 552000. Its totient is φ = 484704.

The previous prime is 517991. The next prime is 517999. The reversal of 517997 is 799715.

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 517997 - 2⁴ = 517981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 517997.

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 517997.

It is not an unprimeable number, because it can be changed into a prime (517991) 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, 2504 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (69000).

2⁵¹⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

517997 is a deficient number, since it is larger than the sum of its proper divisors (34003).

517997 is a wasteful number, since it uses less digits than its factorization.

517997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its digits is 19845, while the sum is 38.

The square root of 517997 is about 719.7200844773. The cubic root of 517997 is about 80.3111321412.

The spelling of 517997 in words is "five hundred seventeen thousand, nine hundred ninety-seven".