89319 has 8 divisors (see below), whose sum is σ = 125440. Its totient is φ = 56376.

The previous prime is 89317. The next prime is 89329. The reversal of 89319 is 91398.

It is a happy number.

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

It is not a de Polignac number, because 89319 - 2¹ = 89317 is a prime.

It is a super-2 number, since 2×89319² = 15955767522, which contains 22 as substring.

It is a Duffinian number.

89319 is a lucky number.

It is a plaindrome in base 14.

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 89319.

It is not an unprimeable number, because it can be changed into a prime (89317) 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, 727 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2⁸⁹³¹⁹ is an apocalyptic number.

89319 is a deficient number, since it is larger than the sum of its proper divisors (36121).

89319 is a wasteful number, since it uses less digits than its factorization.

89319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its digits is 1944, while the sum is 30.

The square root of 89319 is about 298.8628447967. The cubic root of 89319 is about 44.7007301854.

The spelling of 89319 in words is "eighty-nine thousand, three hundred nineteen".