84993357945697 has 2 divisors, whose sum is σ = 84993357945698. Its totient is φ = 84993357945696.

The previous prime is 84993357945673. The next prime is 84993357945739. The reversal of 84993357945697 is 79654975339948.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44474480628561 + 40518877317136 = 6668919^2 + 6365444^2 .

It is a cyclic number.

It is not a de Polignac number, because 84993357945697 - 2¹⁹ = 84993357421409 is a prime.

It is a super-3 number, since 3×84993357945697³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (84993357945667) 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, 42496678972848 + 42496678972849.

It is an arithmetic number, because the mean of its divisors is an integer number (42496678972849).

Almost surely, 2^{84993357945697} is an apocalyptic number.

It is an amenable number.

84993357945697 is a deficient number, since it is larger than the sum of its proper divisors (1).

84993357945697 is an equidigital number, since it uses as much as digits as its factorization.

84993357945697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55553299200, while the sum is 88.

The spelling of 84993357945697 in words is "eighty-four trillion, nine hundred ninety-three billion, three hundred fifty-seven million, nine hundred forty-five thousand, six hundred ninety-seven".