84272239820177 has 2 divisors, whose sum is σ = 84272239820178. Its totient is φ = 84272239820176.

The previous prime is 84272239820161. The next prime is 84272239820189. The reversal of 84272239820177 is 77102893227248.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64247903599441 + 20024336220736 = 8015479^2 + 4474856^2 .

It is a cyclic number.

It is not a de Polignac number, because 84272239820177 - 2⁴ = 84272239820161 is a prime.

It is a super-2 number, since 2×84272239820177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (84272239870177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42136119910088 + 42136119910089.

It is an arithmetic number, because the mean of its divisors is an integer number (42136119910089).

Almost surely, 2^{84272239820177} is an apocalyptic number.

It is an amenable number.

84272239820177 is a deficient number, since it is larger than the sum of its proper divisors (1).

84272239820177 is an equidigital number, since it uses as much as digits as its factorization.

84272239820177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37933056, while the sum is 62.

The spelling of 84272239820177 in words is "eighty-four trillion, two hundred seventy-two billion, two hundred thirty-nine million, eight hundred twenty thousand, one hundred seventy-seven".