205314315 has 32 divisors (see below), whose sum is σ = 338147136. Its totient is φ = 106329600.

The previous prime is 205314313. The next prime is 205314337. The reversal of 205314315 is 513413502.

205314315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205314315 - 2¹ = 205314313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205314313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79017 + ... + 81573.

It is an arithmetic number, because the mean of its divisors is an integer number (10567098).

Almost surely, 2^205314315 is an apocalyptic number.

205314315 is a deficient number, since it is larger than the sum of its proper divisors (132832821).

205314315 is a wasteful number, since it uses less digits than its factorization.

205314315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 205314315 is about 14328.7932150618. The cubic root of 205314315 is about 589.9380524829.

Adding to 205314315 its reverse (513413502), we get a palindrome (718727817).

The spelling of 205314315 in words is "two hundred five million, three hundred fourteen thousand, three hundred fifteen".