96558 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 23760.

The previous prime is 96557. The next prime is 96581. The reversal of 96558 is 85569.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5073 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁹⁶⁵⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

96558 is an abundant number, since it is smaller than the sum of its proper divisors (158802).

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

96558 is a wasteful number, since it uses less digits than its factorization.

96558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 42 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 96558 is about 310.7378316202. The cubic root of 96558 is about 45.8771137228.

96558 divided by its sum of digits (33) gives a triangular number (2926 = T₇₆).

Subtracting from 96558 its product of digits (10800), we obtain a palindrome (85758).

The spelling of 96558 in words is "ninety-six thousand, five hundred fifty-eight".