205340113 has 16 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 177241680.

The previous prime is 205340111. The next prime is 205340129. The reversal of 205340113 is 311043502.

It is not a de Polignac number, because 205340113 - 2¹ = 205340111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205340111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32248 + ... + 38086.

It is an arithmetic number, because the mean of its divisors is an integer number (14716800).

Almost surely, 2^205340113 is an apocalyptic number.

205340113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205340113 is a deficient number, since it is larger than the sum of its proper divisors (30128687).

205340113 is a wasteful number, since it uses less digits than its factorization.

205340113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 205340113 is about 14329.6934021632. The cubic root of 205340113 is about 589.9627602657.

Adding to 205340113 its reverse (311043502), we get a palindrome (516383615).

The spelling of 205340113 in words is "two hundred five million, three hundred forty thousand, one hundred thirteen".