36585641 has 2 divisors, whose sum is σ = 36585642. Its totient is φ = 36585640.

The previous prime is 36585613. The next prime is 36585643. The reversal of 36585641 is 14658563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32444416 + 4141225 = 5696^2 + 2035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36585641 is a prime.

It is a Sophie Germain prime.

Together with 36585643, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36585595 and 36585604.

It is not a weakly prime, because it can be changed into another prime (36585643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18292820 + 18292821.

It is an arithmetic number, because the mean of its divisors is an integer number (18292821).

Almost surely, 2^36585641 is an apocalyptic number.

It is an amenable number.

36585641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36585641 is an equidigital number, since it uses as much as digits as its factorization.

36585641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 86400, while the sum is 38.

The square root of 36585641 is about 6048.6065337398. The cubic root of 36585641 is about 331.9736061903.

The spelling of 36585641 in words is "thirty-six million, five hundred eighty-five thousand, six hundred forty-one".