89316 has 24 divisors (see below), whose sum is σ = 231840. Its totient is φ = 29736.

The previous prime is 89303. The next prime is 89317. The reversal of 89316 is 61398.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 89316.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89316.

It is not an unprimeable number, because it can be changed into a prime (89317) by changing a digit.

89316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2⁸⁹³¹⁶ is an apocalyptic number.

It is an amenable number.

89316 is an abundant number, since it is smaller than the sum of its proper divisors (142524).

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 (115920).

89316 is a wasteful number, since it uses less digits than its factorization.

89316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 89316 is about 298.8578257299. The cubic root of 89316 is about 44.7002297182.

It can be divided in two parts, 893 and 16, that added together give a palindrome (909).

The spelling of 89316 in words is "eighty-nine thousand, three hundred sixteen".