3627437782097 has 2 divisors, whose sum is σ = 3627437782098. Its totient is φ = 3627437782096.

The previous prime is 3627437782051. The next prime is 3627437782109. The reversal of 3627437782097 is 7902877347263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3397271962561 + 230165819536 = 1843169^2 + 479756^2 .

It is an emirp because it is prime and its reverse (7902877347263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3627437782097 - 2¹⁰ = 3627437781073 is a prime.

It is not a weakly prime, because it can be changed into another prime (3627437782027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1813718891048 + 1813718891049.

It is an arithmetic number, because the mean of its divisors is an integer number (1813718891049).

Almost surely, 2^{3627437782097} is an apocalyptic number.

It is an amenable number.

3627437782097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3627437782097 is an equidigital number, since it uses as much as digits as its factorization.

3627437782097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 149361408, while the sum is 65.

The spelling of 3627437782097 in words is "three trillion, six hundred twenty-seven billion, four hundred thirty-seven million, seven hundred eighty-two thousand, ninety-seven".