517104 has 120 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 139968.

The previous prime is 517091. The next prime is 517129. The reversal of 517104 is 401715.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

517104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27207 + ... + 27225.

2⁵¹⁷¹⁰⁴ is an apocalyptic number.

517104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

517104 is an abundant number, since it is smaller than the sum of its proper divisors (1288336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

517104 is a wasteful number, since it uses less digits than its factorization.

517104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 517104 is about 719.0994367958. The cubic root of 517104 is about 80.2649548512.

Adding to 517104 its reverse (401715), we get a palindrome (918819).

The spelling of 517104 in words is "five hundred seventeen thousand, one hundred four".