213738017 has 2 divisors, whose sum is σ = 213738018. Its totient is φ = 213738016.

The previous prime is 213737989. The next prime is 213738023. The reversal of 213738017 is 710837312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209641441 + 4096576 = 14479^2 + 2024^2 .

It is a cyclic number.

It is not a de Polignac number, because 213738017 - 2¹⁰ = 213736993 is a prime.

It is a super-2 number, since 2×213738017² = 91367879822184578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213738037) by changing a digit.

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 as a sum of consecutive naturals, namely, 106869008 + 106869009.

It is an arithmetic number, because the mean of its divisors is an integer number (106869009).

Almost surely, 2^213738017 is an apocalyptic number.

It is an amenable number.

213738017 is a deficient number, since it is larger than the sum of its proper divisors (1).

213738017 is an equidigital number, since it uses as much as digits as its factorization.

213738017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 213738017 is about 14619.7817015166. The cubic root of 213738017 is about 597.8982174097.

The spelling of 213738017 in words is "two hundred thirteen million, seven hundred thirty-eight thousand, seventeen".