102217667 has 2 divisors, whose sum is σ = 102217668. Its totient is φ = 102217666.

The previous prime is 102217649. The next prime is 102217669. The reversal of 102217667 is 766712201.

It is a strong prime.

It is an emirp because it is prime and its reverse (766712201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102217667 - 2⁶ = 102217603 is a prime.

Together with 102217669, 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 (102217669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51108833 + 51108834.

It is an arithmetic number, because the mean of its divisors is an integer number (51108834).

Almost surely, 2^102217667 is an apocalyptic number.

102217667 is a deficient number, since it is larger than the sum of its proper divisors (1).

102217667 is an equidigital number, since it uses as much as digits as its factorization.

102217667 is an evil number, because the sum of its binary digits is even.

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

The square root of 102217667 is about 10110.2753177151. The cubic root of 102217667 is about 467.5649934900.

Adding to 102217667 its reverse (766712201), we get a palindrome (868929868).

The spelling of 102217667 in words is "one hundred two million, two hundred seventeen thousand, six hundred sixty-seven".