89352 has 48 divisors (see below), whose sum is σ = 259740. Its totient is φ = 27648.

The previous prime is 89329. The next prime is 89363. The reversal of 89352 is 25398.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 2916 = 294^2 + 54^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1188 + ... + 1260.

2⁸⁹³⁵² 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 89352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129870).

89352 is an abundant number, since it is smaller than the sum of its proper divisors (170388).

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

89352 is a wasteful number, since it uses less digits than its factorization.

89352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 89352 is about 298.9180489699. The cubic root of 89352 is about 44.7062345852.

It can be divided in two parts, 89 and 352, that added together give a square (441 = 21²).

The spelling of 89352 in words is "eighty-nine thousand, three hundred fifty-two".