205314 has 16 divisors (see below), whose sum is σ = 432480. Its totient is φ = 64800.

The previous prime is 205307. The next prime is 205319. The reversal of 205314 is 413502.

205314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205293 and 205302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205314.

It is not an unprimeable number, because it can be changed into a prime (205319) 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 7 ways as a sum of consecutive naturals, for example, 787 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (27030).

2²⁰⁵³¹⁴ is an apocalyptic number.

205314 is an abundant number, since it is smaller than the sum of its proper divisors (227166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205314 is a wasteful number, since it uses less digits than its factorization.

205314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205314 is about 453.1158792186. The cubic root of 205314 is about 58.9937750782.

Adding to 205314 its reverse (413502), we get a palindrome (618816).

The spelling of 205314 in words is "two hundred five thousand, three hundred fourteen".