517216 has 24 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 221568.

The previous prime is 517211. The next prime is 517217. The reversal of 517216 is 612715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517211) by changing a digit.

517216 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 3 ways as a sum of consecutive naturals, for example, 931 + ... + 1378.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁵¹⁷²¹⁶ is an apocalyptic number.

517216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

517216 is an abundant number, since it is smaller than the sum of its proper divisors (647024).

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

517216 is a wasteful number, since it uses less digits than its factorization.

517216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 517216 is about 719.1773077621. The cubic root of 517216 is about 80.2707493180.

The spelling of 517216 in words is "five hundred seventeen thousand, two hundred sixteen".