85067312329 has 2 divisors, whose sum is σ = 85067312330. Its totient is φ = 85067312328.

The previous prime is 85067312261. The next prime is 85067312347. The reversal of 85067312329 is 92321376058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43148844729 + 41918467600 = 207723^2 + 204740^2 .

It is a cyclic number.

It is not a de Polignac number, because 85067312329 - 2¹⁷ = 85067181257 is a prime.

It is not a weakly prime, because it can be changed into another prime (85067312359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42533656164 + 42533656165.

It is an arithmetic number, because the mean of its divisors is an integer number (42533656165).

Almost surely, 2^85067312329 is an apocalyptic number.

It is an amenable number.

85067312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85067312329 is an equidigital number, since it uses as much as digits as its factorization.

85067312329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 85067312329 in words is "eighty-five billion, sixty-seven million, three hundred twelve thousand, three hundred twenty-nine".