89305 has 8 divisors (see below), whose sum is σ = 109512. Its totient is φ = 69888.

The previous prime is 89303. The next prime is 89317. The reversal of 89305 is 50398.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 80656 = 93^2 + 284^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 89305 - 2¹ = 89303 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 89305.

It is not an unprimeable number, because it can be changed into a prime (89303) 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, 97 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (13689).

2⁸⁹³⁰⁵ is an apocalyptic number.

It is an amenable number.

89305 is a deficient number, since it is larger than the sum of its proper divisors (20207).

89305 is a wasteful number, since it uses less digits than its factorization.

89305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 89305 is about 298.8394217636. The cubic root of 89305 is about 44.6983945759.

The spelling of 89305 in words is "eighty-nine thousand, three hundred five".