212516 has 6 divisors (see below), whose sum is σ = 371910. Its totient is φ = 106256.

The previous prime is 212507. The next prime is 212557. The reversal of 212516 is 615212.

212516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 206116 + 6400 = 454^2 + 80^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212494 and 212503.

It is an unprimeable number.

212516 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 as a sum of consecutive naturals, namely, 26561 + ... + 26568.

It is an arithmetic number, because the mean of its divisors is an integer number (61985).

2²¹²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

212516 is a deficient number, since it is larger than the sum of its proper divisors (159394).

212516 is a wasteful number, since it uses less digits than its factorization.

212516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53133 (or 53131 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 212516 is about 460.9945769746. The cubic root of 212516 is about 59.6756572632.

Adding to 212516 its reverse (615212), we get a palindrome (827728).

The spelling of 212516 in words is "two hundred twelve thousand, five hundred sixteen".