517121 has 8 divisors (see below), whose sum is σ = 575424. Its totient is φ = 460720.

The previous prime is 517091. The next prime is 517129. The reversal of 517121 is 121715.

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 517121 - 2¹⁸ = 254977 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 517121.

It is not an unprimeable number, because it can be changed into a prime (517129) 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, 140 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (71928).

It is a Proth number, since it is equal to 505 ⋅ 2¹⁰ + 1 and 505 < 2¹⁰.

2⁵¹⁷¹²¹ is an apocalyptic number.

It is an amenable number.

517121 is a deficient number, since it is larger than the sum of its proper divisors (58303).

517121 is a wasteful number, since it uses less digits than its factorization.

517121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951.

The product of its digits is 70, while the sum is 17.

The square root of 517121 is about 719.1112570389. Note that the first 3 decimals coincide. The cubic root of 517121 is about 80.2658344223.

Adding to 517121 its reverse (121715), we get a palindrome (638836).

The spelling of 517121 in words is "five hundred seventeen thousand, one hundred twenty-one".