85554 has 36 divisors (see below), whose sum is σ = 217854. Its totient is φ = 24192.

The previous prime is 85549. The next prime is 85571. The reversal of 85554 is 45558.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 11025 = 273^2 + 105^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 834 + ... + 930.

2⁸⁵⁵⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927).

85554 is an abundant number, since it is smaller than the sum of its proper divisors (132300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85554 is a wasteful number, since it uses less digits than its factorization.

85554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

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

The square root of 85554 is about 292.4961538209. The cubic root of 85554 is about 44.0636132207.

It can be divided in two parts, 855 and 54, that added together give a palindrome (909).

The spelling of 85554 in words is "eighty-five thousand, five hundred fifty-four".