36601361 has 2 divisors, whose sum is σ = 36601362. Its totient is φ = 36601360.

The previous prime is 36601337. The next prime is 36601379. The reversal of 36601361 is 16310663.

36601361 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., 30691600 + 5909761 = 5540^2 + 2431^2 .

It is a cyclic number.

It is not a de Polignac number, because 36601361 - 2²² = 32407057 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36601361.

It is not a weakly prime, because it can be changed into another prime (36601381) 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, 18300680 + 18300681.

It is an arithmetic number, because the mean of its divisors is an integer number (18300681).

Almost surely, 2^36601361 is an apocalyptic number.

It is an amenable number.

36601361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36601361 is an equidigital number, since it uses as much as digits as its factorization.

36601361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 36601361 is about 6049.9058670363. The cubic root of 36601361 is about 332.0211464975.

The spelling of 36601361 in words is "thirty-six million, six hundred one thousand, three hundred sixty-one".