37782321217 has 2 divisors, whose sum is σ = 37782321218. Its totient is φ = 37782321216.

The previous prime is 37782321167. The next prime is 37782321233. The reversal of 37782321217 is 71212328773.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37443798016 + 338523201 = 193504^2 + 18399^2 .

It is a cyclic number.

It is not a de Polignac number, because 37782321217 - 2³¹ = 35634837569 is a prime.

It is a super-2 number, since 2×37782321217² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37782321257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18891160608 + 18891160609.

It is an arithmetic number, because the mean of its divisors is an integer number (18891160609).

Almost surely, 2^37782321217 is an apocalyptic number.

It is an amenable number.

37782321217 is a deficient number, since it is larger than the sum of its proper divisors (1).

37782321217 is an equidigital number, since it uses as much as digits as its factorization.

37782321217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 197568, while the sum is 43.

The spelling of 37782321217 in words is "thirty-seven billion, seven hundred eighty-two million, three hundred twenty-one thousand, two hundred seventeen".