205321 has 8 divisors (see below), whose sum is σ = 218880. Its totient is φ = 192192.

The previous prime is 205319. The next prime is 205327. The reversal of 205321 is 123502.

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

It is a cyclic number.

It is not a de Polignac number, because 205321 - 2¹ = 205319 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 1761 + ... + 1873.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2²⁰⁵³²¹ is an apocalyptic number.

It is an amenable number.

205321 is a deficient number, since it is larger than the sum of its proper divisors (13559).

205321 is a wasteful number, since it uses less digits than its factorization.

205321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 205321 is about 453.1236034461. The cubic root of 205321 is about 58.9944455175.

Adding to 205321 its reverse (123502), we get a palindrome (328823).

The spelling of 205321 in words is "two hundred five thousand, three hundred twenty-one".