89329 has 2 divisors, whose sum is σ = 89330. Its totient is φ = 89328.

The previous prime is 89317. The next prime is 89363. The reversal of 89329 is 92398.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 2304 = 295^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 89329 - 2⁹ = 88817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 89329.

It is not a weakly prime, because it can be changed into another prime (89399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44664 + 44665.

It is an arithmetic number, because the mean of its divisors is an integer number (44665).

2⁸⁹³²⁹ is an apocalyptic number.

It is an amenable number.

89329 is a deficient number, since it is larger than the sum of its proper divisors (1).

89329 is an equidigital number, since it uses as much as digits as its factorization.

89329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 31.

The square root of 89329 is about 298.8795744108. The cubic root of 89329 is about 44.7023983285.

Subtracting from 89329 its sum of digits (31), we obtain a palindrome (89298).

The spelling of 89329 in words is "eighty-nine thousand, three hundred twenty-nine".