85217810329 has 2 divisors, whose sum is σ = 85217810330. Its totient is φ = 85217810328.

The previous prime is 85217810323. The next prime is 85217810333. The reversal of 85217810329 is 92301871258.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65799945225 + 19417865104 = 256515^2 + 139348^2 .

It is a cyclic number.

It is not a de Polignac number, because 85217810329 - 2⁷ = 85217810201 is a prime.

It is not a weakly prime, because it can be changed into another prime (85217810323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42608905164 + 42608905165.

It is an arithmetic number, because the mean of its divisors is an integer number (42608905165).

Almost surely, 2^85217810329 is an apocalyptic number.

It is an amenable number.

85217810329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85217810329 is an equidigital number, since it uses as much as digits as its factorization.

85217810329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 85217810329 in words is "eighty-five billion, two hundred seventeen million, eight hundred ten thousand, three hundred twenty-nine".