10517 has 4 divisors (see below), whose sum is σ = 11340. Its totient is φ = 9696.

The previous prime is 10513. The next prime is 10529. The reversal of 10517 is 71501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71501 = 127 ⋅563.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 5041 = 74^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 10517 - 2² = 10513 is a prime.

It is a super-2 number, since 2×10517² = 221214578, which contains 22 as substring.

It is a Duffinian number.

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 10517.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2¹⁰⁵¹⁷ is an apocalyptic number.

It is an amenable number.

10517 is a deficient number, since it is larger than the sum of its proper divisors (823).

10517 is an equidigital number, since it uses as much as digits as its factorization.

10517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10517 is about 102.5524256173. The cubic root of 10517 is about 21.9094070774.

The spelling of 10517 in words is "ten thousand, five hundred seventeen".