85806227329 has 9 divisors (see below), whose sum is σ = 91155850051. Its totient is φ = 80754115360.

The previous prime is 85806227303. The next prime is 85806227359. The reversal of 85806227329 is 92372260858.

The square root of 85806227329 is 292927.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66804156225 + 19002071104 = 258465^2 + 137848^2 .

It is not a de Polignac number, because 85806227329 - 2⁹ = 85806226817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85806227359) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4971144 + ... + 4988374.

Almost surely, 2^85806227329 is an apocalyptic number.

85806227329 is the 292927-th square number.

85806227329 is the 146464-th centered octagonal number.

It is an amenable number.

85806227329 is a deficient number, since it is larger than the sum of its proper divisors (5349622722).

85806227329 is an frugal number, since it uses more digits than its factorization.

85806227329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34496 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 85806227329 in words is "eighty-five billion, eight hundred six million, two hundred twenty-seven thousand, three hundred twenty-nine".