89000 has 32 divisors (see below), whose sum is σ = 210600. Its totient is φ = 35200.

The previous prime is 88997. The next prime is 89003. The reversal of 89000 is 98.

It is an interprime number because it is at equal distance from previous prime (88997) and next prime (89003).

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 75076 = 118^2 + 274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89003) 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, 956 + ... + 1044.

2⁸⁹⁰⁰⁰ 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 89000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105300).

89000 is an abundant number, since it is smaller than the sum of its proper divisors (121600).

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

89000 is a wasteful number, since it uses less digits than its factorization.

89000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 89000 is about 298.3286778035. The cubic root of 89000 is about 44.6474509558.

Adding to 89000 its reverse (98), we get a palindrome (89098).

The spelling of 89000 in words is "eighty-nine thousand".