85704117 has 32 divisors (see below), whose sum is σ = 125030400. Its totient is φ = 52036992.

The previous prime is 85704107. The next prime is 85704121. The reversal of 85704117 is 71140758.

It is not a de Polignac number, because 85704117 - 2¹⁸ = 85441973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85704107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178684 + ... + 179162.

It is an arithmetic number, because the mean of its divisors is an integer number (3907200).

Almost surely, 2^85704117 is an apocalyptic number.

It is an amenable number.

85704117 is a deficient number, since it is larger than the sum of its proper divisors (39326283).

85704117 is a wasteful number, since it uses less digits than its factorization.

85704117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 85704117 is about 9257.6518080991. The cubic root of 85704117 is about 440.8937017879.

The spelling of 85704117 in words is "eighty-five million, seven hundred four thousand, one hundred seventeen".