85307129 has 2 divisors, whose sum is σ = 85307130. Its totient is φ = 85307128.

The previous prime is 85307111. The next prime is 85307149. The reversal of 85307129 is 92170358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85285225 + 21904 = 9235^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 85307129 - 2¹² = 85303033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (85307149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42653564 + 42653565.

It is an arithmetic number, because the mean of its divisors is an integer number (42653565).

Almost surely, 2^85307129 is an apocalyptic number.

It is an amenable number.

85307129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85307129 is an equidigital number, since it uses as much as digits as its factorization.

85307129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 85307129 is about 9236.1858469825. The cubic root of 85307129 is about 440.2118969044.

The spelling of 85307129 in words is "eighty-five million, three hundred seven thousand, one hundred twenty-nine".