7638601 has 2 divisors, whose sum is σ = 7638602. Its totient is φ = 7638600.

The previous prime is 7638577. The next prime is 7638619. The reversal of 7638601 is 1068367.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4579600 + 3059001 = 2140^2 + 1749^2 .

It is an emirp because it is prime and its reverse (1068367) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7638601 - 2⁵ = 7638569 is a prime.

It is not a weakly prime, because it can be changed into another prime (7638641) 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, 3819300 + 3819301.

It is an arithmetic number, because the mean of its divisors is an integer number (3819301).

Almost surely, 2^7638601 is an apocalyptic number.

It is an amenable number.

7638601 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638601 is an equidigital number, since it uses as much as digits as its factorization.

7638601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 7638601 is about 2763.8019104125. The cubic root of 7638601 is about 196.9418176158.

The spelling of 7638601 in words is "seven million, six hundred thirty-eight thousand, six hundred one".