67329 has 6 divisors (see below), whose sum is σ = 97266. Its totient is φ = 44880.

The previous prime is 67307. The next prime is 67339. The reversal of 67329 is 92376.

67329 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 2304 = 255^2 + 48^2 .

It is not a de Polignac number, because 67329 - 2⁸ = 67073 is a prime.

It is a d-powerful number, because it can be written as 6² + 7² + 3 + 2¹³ + 9⁵ .

67329 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3732 + ... + 3749.

It is an arithmetic number, because the mean of its divisors is an integer number (16211).

2⁶⁷³²⁹ is an apocalyptic number.

It is an amenable number.

67329 is a deficient number, since it is larger than the sum of its proper divisors (29937).

67329 is a wasteful number, since it uses less digits than its factorization.

67329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7487 (or 7484 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 67329 is about 259.4783227940. The cubic root of 67329 is about 40.6818525506.

The spelling of 67329 in words is "sixty-seven thousand, three hundred twenty-nine".