89709 has 8 divisors (see below), whose sum is σ = 126720. Its totient is φ = 56256.

The previous prime is 89689. The next prime is 89753. The reversal of 89709 is 90798.

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

It is not a de Polignac number, because 89709 - 2¹³ = 81517 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 89709.

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 89709.

It is not an unprimeable number, because it can be changed into a prime (89759) 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, 829 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2⁸⁹⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

89709 is a deficient number, since it is larger than the sum of its proper divisors (37011).

89709 is a wasteful number, since it uses less digits than its factorization.

89709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 89709 is about 299.5146073232. The cubic root of 89709 is about 44.7656957312.

Subtracting from 89709 its sum of digits (33), we obtain a triangular number (89676 = T₄₂₃).

Subtracting 89709 from its reverse (90798), we obtain a square (1089 = 33²).

The spelling of 89709 in words is "eighty-nine thousand, seven hundred nine".