89355 has 32 divisors (see below), whose sum is σ = 175104. Its totient is φ = 38016.

The previous prime is 89329. The next prime is 89363. The reversal of 89355 is 55398.

It is not a de Polignac number, because 89355 - 2⁷ = 89227 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

Its product of digits (5400) is a multiple of the sum of its prime divisors (75).

89355 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2⁸⁹³⁵⁵ is an apocalyptic number.

89355 is a deficient number, since it is larger than the sum of its proper divisors (85749).

89355 is a wasteful number, since it uses less digits than its factorization.

89355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75.

The product of its digits is 5400, while the sum is 30.

The square root of 89355 is about 298.9230670256. The cubic root of 89355 is about 44.7067349180.

It can be divided in two parts, 89 and 355, that added together give a palindrome (444).

The spelling of 89355 in words is "eighty-nine thousand, three hundred fifty-five".