205329 has 4 divisors (see below), whose sum is σ = 273776. Its totient is φ = 136884.

The previous prime is 205327. The next prime is 205339. The reversal of 205329 is 923502.

205329 is nontrivially palindromic in base 12.

205329 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 205329 - 2¹ = 205327 is a prime.

It is a D-number.

It is a Duffinian number.

205329 is an undulating number in base 12.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (205327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34219 + ... + 34224.

It is an arithmetic number, because the mean of its divisors is an integer number (68444).

2²⁰⁵³²⁹ is an apocalyptic number.

It is an amenable number.

205329 is a deficient number, since it is larger than the sum of its proper divisors (68447).

205329 is an equidigital number, since it uses as much as digits as its factorization.

205329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68446.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 205329 is about 453.1324309736. The cubic root of 205329 is about 58.9952117152.

The spelling of 205329 in words is "two hundred five thousand, three hundred twenty-nine".