517140 has 108 divisors (see below), whose sum is σ = 1798524. Its totient is φ = 119808.

The previous prime is 517129. The next prime is 517151. The reversal of 517140 is 41715.

517140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (517129) and next prime (517151).

It can be written as a sum of positive squares in 6 ways, for example, as 49284 + 467856 = 222^2 + 684^2 .

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

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 517140.

It is an unprimeable number.

517140 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 35 ways as a sum of consecutive naturals, for example, 30412 + ... + 30428.

It is an arithmetic number, because the mean of its divisors is an integer number (16653).

2⁵¹⁷¹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899262).

517140 is an abundant number, since it is smaller than the sum of its proper divisors (1281384).

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

517140 is a wasteful number, since it uses less digits than its factorization.

517140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

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

The square root of 517140 is about 719.1244676688. The cubic root of 517140 is about 80.2668174496.

Adding to 517140 its reverse (41715), we get a palindrome (558855).

The spelling of 517140 in words is "five hundred seventeen thousand, one hundred forty".