36657541 has 2 divisors, whose sum is σ = 36657542. Its totient is φ = 36657540.

The previous prime is 36657527. The next prime is 36657547. The reversal of 36657541 is 14575663.

36657541 is digitally balanced in base 2, 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., 26224641 + 10432900 = 5121^2 + 3230^2 .

It is a cyclic number.

It is not a de Polignac number, because 36657541 - 2⁹ = 36657029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36657541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36657547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18328770 + 18328771.

It is an arithmetic number, because the mean of its divisors is an integer number (18328771).

Almost surely, 2^36657541 is an apocalyptic number.

It is an amenable number.

36657541 is a deficient number, since it is larger than the sum of its proper divisors (1).

36657541 is an equidigital number, since it uses as much as digits as its factorization.

36657541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The square root of 36657541 is about 6054.5471341794. The cubic root of 36657541 is about 332.1909344695.

The spelling of 36657541 in words is "thirty-six million, six hundred fifty-seven thousand, five hundred forty-one".