36505967 has 2 divisors, whose sum is σ = 36505968. Its totient is φ = 36505966.

The previous prime is 36505961. The next prime is 36506017. The reversal of 36505967 is 76950563.

36505967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 36505967 - 2²⁰ = 35457391 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36505961) 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, 18252983 + 18252984.

It is an arithmetic number, because the mean of its divisors is an integer number (18252984).

Almost surely, 2^36505967 is an apocalyptic number.

36505967 is a deficient number, since it is larger than the sum of its proper divisors (1).

36505967 is an equidigital number, since it uses as much as digits as its factorization.

36505967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 41.

The square root of 36505967 is about 6042.0167990498. The cubic root of 36505967 is about 331.7324470197.

The spelling of 36505967 in words is "thirty-six million, five hundred five thousand, nine hundred sixty-seven".