36877541 has 2 divisors, whose sum is σ = 36877542. Its totient is φ = 36877540.

The previous prime is 36877517. The next prime is 36877543. The reversal of 36877541 is 14577863.

36877541 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., 34269316 + 2608225 = 5854^2 + 1615^2 .

It is a cyclic number.

It is not a de Polignac number, because 36877541 - 2¹⁰ = 36876517 is a prime.

It is a Sophie Germain prime.

Together with 36877543, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36877543) 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, 18438770 + 18438771.

It is an arithmetic number, because the mean of its divisors is an integer number (18438771).

Almost surely, 2^36877541 is an apocalyptic number.

It is an amenable number.

36877541 is a deficient number, since it is larger than the sum of its proper divisors (1).

36877541 is an equidigital number, since it uses as much as digits as its factorization.

36877541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 41.

The square root of 36877541 is about 6072.6881197704. The cubic root of 36877541 is about 332.8541567216.

The spelling of 36877541 in words is "thirty-six million, eight hundred seventy-seven thousand, five hundred forty-one".