7638689 has 2 divisors, whose sum is σ = 7638690. Its totient is φ = 7638688.

The previous prime is 7638643. The next prime is 7638707. The reversal of 7638689 is 9868367.

7638689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5678689 + 1960000 = 2383^2 + 1400^2 .

It is an emirp because it is prime and its reverse (9868367) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7638689 - 2¹² = 7634593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7638619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3819344 + 3819345.

It is an arithmetic number, because the mean of its divisors is an integer number (3819345).

Almost surely, 2^7638689 is an apocalyptic number.

It is an amenable number.

7638689 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638689 is an equidigital number, since it uses as much as digits as its factorization.

7638689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 47.

The square root of 7638689 is about 2763.8178304657. The cubic root of 7638689 is about 196.9425738979.

The spelling of 7638689 in words is "seven million, six hundred thirty-eight thousand, six hundred eighty-nine".