85684357 has 32 divisors (see below), whose sum is σ = 103795200. Its totient is φ = 69854400.

The previous prime is 85684351. The next prime is 85684367. The reversal of 85684357 is 75348658.

It is not a de Polignac number, because 85684357 - 2⁷ = 85684229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85684351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405982 + ... + 406192.

It is an arithmetic number, because the mean of its divisors is an integer number (3243600).

Almost surely, 2^85684357 is an apocalyptic number.

It is an amenable number.

85684357 is a deficient number, since it is larger than the sum of its proper divisors (18110843).

85684357 is a wasteful number, since it uses less digits than its factorization.

85684357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its digits is 806400, while the sum is 46.

The square root of 85684357 is about 9256.5845213016. The cubic root of 85684357 is about 440.8598149320.

The spelling of 85684357 in words is "eighty-five million, six hundred eighty-four thousand, three hundred fifty-seven".