7633541 has 2 divisors, whose sum is σ = 7633542. Its totient is φ = 7633540.

The previous prime is 7633531. The next prime is 7633543. The reversal of 7633541 is 1453367.

7633541 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., 7540516 + 93025 = 2746^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 7633541 - 2¹⁰ = 7632517 is a prime.

Together with 7633543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7633543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3816770 + 3816771.

It is an arithmetic number, because the mean of its divisors is an integer number (3816771).

Almost surely, 2^7633541 is an apocalyptic number.

It is an amenable number.

7633541 is a deficient number, since it is larger than the sum of its proper divisors (1).

7633541 is an equidigital number, since it uses as much as digits as its factorization.

7633541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 29.

The square root of 7633541 is about 2762.8863530735. The cubic root of 7633541 is about 196.8983216179.

The spelling of 7633541 in words is "seven million, six hundred thirty-three thousand, five hundred forty-one".