517212 has 24 divisors (see below), whose sum is σ = 1341200. Its totient is φ = 172368.

The previous prime is 517211. The next prime is 517217. The reversal of 517212 is 212715.

517212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287 + ... + 2502.

2⁵¹⁷²¹² is an apocalyptic number.

It is an amenable number.

517212 is an abundant number, since it is smaller than the sum of its proper divisors (823988).

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

517212 is a wasteful number, since it uses less digits than its factorization.

517212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4794 counting only the distinct ones).

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

The square root of 517212 is about 719.1745268014. The cubic root of 517212 is about 80.2705423872.

Adding to 517212 its reverse (212715), we get a palindrome (729927).

It can be divided in two parts, 5172 and 12, that added together give a square (5184 = 72²).

The spelling of 517212 in words is "five hundred seventeen thousand, two hundred twelve".