205315 has 8 divisors (see below), whose sum is σ = 268848. Its totient is φ = 149280.

The previous prime is 205307. The next prime is 205319. The reversal of 205315 is 513502.

205315 = 32² + 33² + ... + 86².

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

It is not a de Polignac number, because 205315 - 2³ = 205307 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1812 + ... + 1921.

It is an arithmetic number, because the mean of its divisors is an integer number (33606).

2²⁰⁵³¹⁵ is an apocalyptic number.

205315 is a deficient number, since it is larger than the sum of its proper divisors (63533).

205315 is a wasteful number, since it uses less digits than its factorization.

205315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 205315 is about 453.1169826877. The cubic root of 205315 is about 58.9938708562.

Adding to 205315 its reverse (513502), we get a palindrome (718817).

It can be divided in two parts, 20 and 5315, that added together give a palindrome (5335).

The spelling of 205315 in words is "two hundred five thousand, three hundred fifteen".