212129017 has 2 divisors, whose sum is σ = 212129018. Its totient is φ = 212129016.

The previous prime is 212129011. The next prime is 212129041. The reversal of 212129017 is 710921212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211382521 + 746496 = 14539^2 + 864^2 .

It is a cyclic number.

It is not a de Polignac number, because 212129017 - 2¹⁵ = 212096249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212128982 and 212129000.

It is not a weakly prime, because it can be changed into another prime (212129011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106064508 + 106064509.

It is an arithmetic number, because the mean of its divisors is an integer number (106064509).

Almost surely, 2^212129017 is an apocalyptic number.

It is an amenable number.

212129017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212129017 is an equidigital number, since it uses as much as digits as its factorization.

212129017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 212129017 is about 14564.6495666734. The cubic root of 212129017 is about 596.3941293884.

The spelling of 212129017 in words is "two hundred twelve million, one hundred twenty-nine thousand, seventeen".