89284 has 24 divisors (see below), whose sum is σ = 179928. Its totient is φ = 38400.

The previous prime is 89273. The next prime is 89293. The reversal of 89284 is 48298.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 57600 = 178^2 + 240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (7497).

2⁸⁹²⁸⁴ is an apocalyptic number.

It is an amenable number.

89284 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964).

89284 is a wasteful number, since it uses less digits than its factorization.

89284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 89284 is about 298.8042837712. The cubic root of 89284 is about 44.6948907039.

Subtracting from 89284 its sum of digits (31), we obtain a triangular number (89253 = T₄₂₂).

It can be divided in two parts, 89 and 284, that added together give a palindrome (373).

The spelling of 89284 in words is "eighty-nine thousand, two hundred eighty-four".