85191329 has 2 divisors, whose sum is σ = 85191330. Its totient is φ = 85191328.

The previous prime is 85191277. The next prime is 85191349. The reversal of 85191329 is 92319158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42876304 + 42315025 = 6548^2 + 6505^2 .

It is a cyclic number.

It is not a de Polignac number, because 85191329 - 2²⁴ = 68414113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85191292 and 85191301.

It is not a weakly prime, because it can be changed into another prime (85191349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42595664 + 42595665.

It is an arithmetic number, because the mean of its divisors is an integer number (42595665).

Almost surely, 2^85191329 is an apocalyptic number.

It is an amenable number.

85191329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85191329 is an equidigital number, since it uses as much as digits as its factorization.

85191329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 38.

The square root of 85191329 is about 9229.9148966824. The cubic root of 85191329 is about 440.0126184398.

The spelling of 85191329 in words is "eighty-five million, one hundred ninety-one thousand, three hundred twenty-nine".