7638541 has 2 divisors, whose sum is σ = 7638542. Its totient is φ = 7638540.

The previous prime is 7638523. The next prime is 7638557. The reversal of 7638541 is 1458367.

7638541 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., 6325225 + 1313316 = 2515^2 + 1146^2 .

It is a cyclic number.

It is not a de Polignac number, because 7638541 - 2⁵ = 7638509 is a prime.

It is an Ulam number.

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

7638541 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7638497 and 7638506.

It is a congruent number.

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, 3819270 + 3819271.

It is an arithmetic number, because the mean of its divisors is an integer number (3819271).

Almost surely, 2^7638541 is an apocalyptic number.

It is an amenable number.

7638541 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638541 is an equidigital number, since it uses as much as digits as its factorization.

7638541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 7638541 is about 2763.7910557783. The cubic root of 7638541 is about 196.9413019655.

The spelling of 7638541 in words is "seven million, six hundred thirty-eight thousand, five hundred forty-one".