85545 has 12 divisors (see below), whose sum is σ = 148356. Its totient is φ = 45600.

The previous prime is 85531. The next prime is 85549. The reversal of 85545 is 54558.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 68121 = 132^2 + 261^2 .

It is not a de Polignac number, because 85545 - 2⁵ = 85513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (12363).

2⁸⁵⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

85545 is a deficient number, since it is larger than the sum of its proper divisors (62811).

85545 is a wasteful number, since it uses less digits than its factorization.

85545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1909 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 85545 is about 292.4807685986. The cubic root of 85545 is about 44.0620680507.

It can be divided in two parts, 855 and 45, that added together give a square (900 = 30²).

The spelling of 85545 in words is "eighty-five thousand, five hundred forty-five".