21714456017 has 2 divisors, whose sum is σ = 21714456018. Its totient is φ = 21714456016.

The previous prime is 21714456011. The next prime is 21714456019. The reversal of 21714456017 is 71065441712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17667460561 + 4046995456 = 132919^2 + 63616^2 .

It is a cyclic number.

It is not a de Polignac number, because 21714456017 - 2¹⁸ = 21714193873 is a prime.

It is a super-2 number, since 2×21714456017² (a number of 21 digits) contains 22 as substring.

Together with 21714456019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21714456011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10857228008 + 10857228009.

It is an arithmetic number, because the mean of its divisors is an integer number (10857228009).

Almost surely, 2^21714456017 is an apocalyptic number.

It is an amenable number.

21714456017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21714456017 is an equidigital number, since it uses as much as digits as its factorization.

21714456017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

Adding to 21714456017 its reverse (71065441712), we get a palindrome (92779897729).

The spelling of 21714456017 in words is "twenty-one billion, seven hundred fourteen million, four hundred fifty-six thousand, seventeen".