212516329 has 2 divisors, whose sum is σ = 212516330. Its totient is φ = 212516328.

The previous prime is 212516327. The next prime is 212516347. The reversal of 212516329 is 923615212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211993600 + 522729 = 14560^2 + 723^2 .

It is a cyclic number.

It is not a de Polignac number, because 212516329 - 2¹ = 212516327 is a prime.

Together with 212516327, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212516329.

It is not a weakly prime, because it can be changed into another prime (212516323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106258164 + 106258165.

It is an arithmetic number, because the mean of its divisors is an integer number (106258165).

Almost surely, 2^212516329 is an apocalyptic number.

It is an amenable number.

212516329 is a deficient number, since it is larger than the sum of its proper divisors (1).

212516329 is an equidigital number, since it uses as much as digits as its factorization.

212516329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 212516329 is about 14577.9398064336. The cubic root of 212516329 is about 596.7568805816.

The spelling of 212516329 in words is "two hundred twelve million, five hundred sixteen thousand, three hundred twenty-nine".