4657668167 has 2 divisors, whose sum is σ = 4657668168. Its totient is φ = 4657668166.

The previous prime is 4657668149. The next prime is 4657668179. The reversal of 4657668167 is 7618667564.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4657668167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4657668187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328834083 + 2328834084.

It is an arithmetic number, because the mean of its divisors is an integer number (2328834084).

Almost surely, 2^4657668167 is an apocalyptic number.

4657668167 is a deficient number, since it is larger than the sum of its proper divisors (1).

4657668167 is an equidigital number, since it uses as much as digits as its factorization.

4657668167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10160640, while the sum is 56.

The square root of 4657668167 is about 68247.1110524101. Note that the first 3 decimals coincide. The cubic root of 4657668167 is about 1670.0245214944.

The spelling of 4657668167 in words is "four billion, six hundred fifty-seven million, six hundred sixty-eight thousand, one hundred sixty-seven".