85706129 has 6 divisors (see below), whose sum is σ = 91044534. Its totient is φ = 80664320.

The previous prime is 85706099. The next prime is 85706167. The reversal of 85706129 is 92160758.

It can be written as a sum of positive squares in 3 ways, for example, as 63361600 + 22344529 = 7960^2 + 4727^2 .

It is not a de Polignac number, because 85706129 - 2¹² = 85702033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85706092 and 85706101.

It is not an unprimeable number, because it can be changed into a prime (85706029) 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 in 5 ways as a sum of consecutive naturals, for example, 147992 + ... + 148569.

It is an arithmetic number, because the mean of its divisors is an integer number (15174089).

Almost surely, 2^85706129 is an apocalyptic number.

It is an amenable number.

85706129 is a deficient number, since it is larger than the sum of its proper divisors (5338405).

85706129 is a wasteful number, since it uses less digits than its factorization.

85706129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296595 (or 296578 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 85706129 is about 9257.7604743264. The cubic root of 85706129 is about 440.8971519184.

The spelling of 85706129 in words is "eighty-five million, seven hundred six thousand, one hundred twenty-nine".