7638167 has 2 divisors, whose sum is σ = 7638168. Its totient is φ = 7638166.

The previous prime is 7638149. The next prime is 7638173. The reversal of 7638167 is 7618367.

It is a strong prime.

It is an emirp because it is prime and its reverse (7618367) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7638167 - 2¹⁰ = 7637143 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 7638167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7638767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3819083 + 3819084.

It is an arithmetic number, because the mean of its divisors is an integer number (3819084).

Almost surely, 2^7638167 is an apocalyptic number.

7638167 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638167 is an equidigital number, since it uses as much as digits as its factorization.

7638167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 38.

The square root of 7638167 is about 2763.7233942636. The cubic root of 7638167 is about 196.9380876846.

The spelling of 7638167 in words is "seven million, six hundred thirty-eight thousand, one hundred sixty-seven".