84552 has 32 divisors (see below), whose sum is σ = 228480. Its totient is φ = 25920.

The previous prime is 84551. The next prime is 84559. The reversal of 84552 is 25548.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (84551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁸⁴⁵⁵² 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 84552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114240).

84552 is an abundant number, since it is smaller than the sum of its proper divisors (143928).

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

84552 is a wasteful number, since it uses less digits than its factorization.

84552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 84552 is about 290.7782660379. The cubic root of 84552 is about 43.8909143492.

It can be divided in two parts, 84 and 552, that added together give a palindrome (636).

The spelling of 84552 in words is "eighty-four thousand, five hundred fifty-two".