89658 has 24 divisors (see below), whose sum is σ = 206388. Its totient is φ = 28032.

The previous prime is 89657. The next prime is 89659. The reversal of 89658 is 85698.

It is an interprime number because it is at equal distance from previous prime (89657) and next prime (89659).

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 15129 = 273^2 + 123^2 .

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

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (89653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 452.

2⁸⁹⁶⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194).

89658 is an abundant number, since it is smaller than the sum of its proper divisors (116730).

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

89658 is a wasteful number, since it uses less digits than its factorization.

89658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 89658 is about 299.4294574687. The cubic root of 89658 is about 44.7572109516.

It can be divided in two parts, 89 and 658, that added together give a palindrome (747).

The spelling of 89658 in words is "eighty-nine thousand, six hundred fifty-eight".