89313 has 8 divisors (see below), whose sum is σ = 136128. Its totient is φ = 51024.

The previous prime is 89303. The next prime is 89317. The reversal of 89313 is 31398.

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

It is not a de Polignac number, because 89313 - 2⁸ = 89057 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89313.

It is not an unprimeable number, because it can be changed into a prime (89317) 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, 2106 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (17016).

2⁸⁹³¹³ is an apocalyptic number.

It is an amenable number.

89313 is a deficient number, since it is larger than the sum of its proper divisors (46815).

89313 is a wasteful number, since it uses less digits than its factorization.

89313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263.

The product of its digits is 648, while the sum is 24.

The square root of 89313 is about 298.8528065788. The cubic root of 89313 is about 44.6997292398.

The spelling of 89313 in words is "eighty-nine thousand, three hundred thirteen".