85248 has 54 divisors (see below), whose sum is σ = 252434. Its totient is φ = 27648.

The previous prime is 85247. The next prime is 85259. The reversal of 85248 is 84258.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 2304 = 288^2 + 48^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2286 + ... + 2322.

2⁸⁵²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217).

85248 is an abundant number, since it is smaller than the sum of its proper divisors (167186).

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

85248 is a wasteful number, since it uses less digits than its factorization.

85248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 85248 is about 291.9726014543. The cubic root of 85248 is about 44.0110165252.

Subtracting from 85248 its reverse (84258), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 852 and 48, that added together give a square (900 = 30²).

The spelling of 85248 in words is "eighty-five thousand, two hundred forty-eight".