85701657 has 16 divisors (see below), whose sum is σ = 122463360. Its totient is φ = 53171712.

The previous prime is 85701653. The next prime is 85701673. The reversal of 85701657 is 75610758.

It is not a de Polignac number, because 85701657 - 2² = 85701653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85701653) 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 15 ways as a sum of consecutive naturals, for example, 14232 + ... + 19337.

It is an arithmetic number, because the mean of its divisors is an integer number (7653960).

Almost surely, 2^85701657 is an apocalyptic number.

It is an amenable number.

85701657 is a deficient number, since it is larger than the sum of its proper divisors (36761703).

85701657 is a wasteful number, since it uses less digits than its factorization.

85701657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632.

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 85701657 is about 9257.5189440800. The cubic root of 85701657 is about 440.8894833640.

The spelling of 85701657 in words is "eighty-five million, seven hundred one thousand, six hundred fifty-seven".