505212 has 12 divisors (see below), whose sum is σ = 1178856. Its totient is φ = 168400.

The previous prime is 505201. The next prime is 505213. The reversal of 505212 is 212505.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 505191 and 505200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505213) by changing a digit.

505212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21039 + ... + 21062.

It is an arithmetic number, because the mean of its divisors is an integer number (98238).

2⁵⁰⁵²¹² is an apocalyptic number.

It is an amenable number.

505212 is an abundant number, since it is smaller than the sum of its proper divisors (673644).

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

505212 is a wasteful number, since it uses less digits than its factorization.

505212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42108 (or 42106 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 505212 is about 710.7826672057. The cubic root of 505212 is about 79.6448843265.

Adding to 505212 its reverse (212505), we get a palindrome (717717).

It can be divided in two parts, 505 and 212, that added together give a palindrome (717).

The spelling of 505212 in words is "five hundred five thousand, two hundred twelve".