85557 has 12 divisors (see below), whose sum is σ = 121920. Its totient is φ = 53352.

The previous prime is 85549. The next prime is 85571. The reversal of 85557 is 75558.

It is a happy number.

It is not a de Polignac number, because 85557 - 2³ = 85549 is a prime.

It is the 293-rd Hogben number.

85557 is a Rhonda number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85517) by changing a digit.

It is a nontrivial repunit in base 292.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (10160).

2⁸⁵⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

85557 is a deficient number, since it is larger than the sum of its proper divisors (36363).

85557 is a wasteful number, since it uses less digits than its factorization.

85557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 85557 is about 292.5012820485. The cubic root of 85557 is about 44.0641282533.

Subtracting from 85557 its reverse (75558), we obtain a palindrome (9999).

It can be divided in two parts, 8 and 5557, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 85557 in words is "eighty-five thousand, five hundred fifty-seven".