85012129 has 2 divisors, whose sum is σ = 85012130. Its totient is φ = 85012128.

The previous prime is 85012127. The next prime is 85012133. The reversal of 85012129 is 92121058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 30547729 = 7380^2 + 5527^2 .

It is a cyclic number.

It is not a de Polignac number, because 85012129 - 2¹ = 85012127 is a prime.

It is a super-2 number, since 2×85012129² = 14454124154225282, which contains 22 as substring.

Together with 85012127, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85012097 and 85012106.

It is not a weakly prime, because it can be changed into another prime (85012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42506064 + 42506065.

It is an arithmetic number, because the mean of its divisors is an integer number (42506065).

Almost surely, 2^85012129 is an apocalyptic number.

It is an amenable number.

85012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85012129 is an equidigital number, since it uses as much as digits as its factorization.

85012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 85012129 is about 9220.2022212097. The cubic root of 85012129 is about 439.7038796122.

The spelling of 85012129 in words is "eighty-five million, twelve thousand, one hundred twenty-nine".