205313 has 8 divisors (see below), whose sum is σ = 218880. Its totient is φ = 192240.

The previous prime is 205307. The next prime is 205319. The reversal of 205313 is 313502.

It is an interprime number because it is at equal distance from previous prime (205307) and next prime (205319).

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 205313 - 2⁴ = 205297 is a prime.

It is a Duffinian number.

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, 1058 + ... + 1236.

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

It is a Proth number, since it is equal to 401 ⋅ 2⁹ + 1 and 401 < 2⁹.

2²⁰⁵³¹³ is an apocalyptic number.

It is an amenable number.

205313 is a deficient number, since it is larger than the sum of its proper divisors (13567).

205313 is a wasteful number, since it uses less digits than its factorization.

205313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 205313 is about 453.1147757467. The cubic root of 205313 is about 58.9936792999.

Adding to 205313 its reverse (313502), we get a palindrome (518815).

The spelling of 205313 in words is "two hundred five thousand, three hundred thirteen".