89298 has 36 divisors (see below), whose sum is σ = 217854. Its totient is φ = 26400.

The previous prime is 89293. The next prime is 89303.

89298 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (89293) and next prime (89303).

It can be written as a sum of positive squares in only one way, i.e., 88209 + 1089 = 297^2 + 33^2 .

It is a super-3 number, since 3×89298³ = 2136222333394776, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89298.

It is not an unprimeable number, because it can be changed into a prime (89293) by changing a digit.

89298 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 17 ways as a sum of consecutive naturals, for example, 2158 + ... + 2198.

2⁸⁹²⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927).

89298 is an abundant number, since it is smaller than the sum of its proper divisors (128556).

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

89298 is a wasteful number, since it uses less digits than its factorization.

89298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 89298 is about 298.8277095585. The cubic root of 89298 is about 44.6972266796.

It can be divided in two parts, 892 and 98, that added together give a triangular number (990 = T₄₄).

The spelling of 89298 in words is "eighty-nine thousand, two hundred ninety-eight".