89309 has 8 divisors (see below), whose sum is σ = 101952. Its totient is φ = 77440.

The previous prime is 89303. The next prime is 89317. The reversal of 89309 is 90398.

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

It is not a de Polignac number, because 89309 - 2⁴ = 89293 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89309.

It is not an unprimeable number, because it can be changed into a prime (89303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (12744).

2⁸⁹³⁰⁹ is an apocalyptic number.

It is an amenable number.

89309 is a deficient number, since it is larger than the sum of its proper divisors (12643).

89309 is a wasteful number, since it uses less digits than its factorization.

89309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 89309 is about 298.8461142461. The cubic root of 89309 is about 44.6990619178.

Subtracting 89309 from its reverse (90398), we obtain a square (1089 = 33²).

The spelling of 89309 in words is "eighty-nine thousand, three hundred nine".