205630117 has 24 divisors (see below), whose sum is σ = 262196352. Its totient is φ = 159465600.

The previous prime is 205630081. The next prime is 205630121. The reversal of 205630117 is 711036502.

It is not a de Polignac number, because 205630117 - 2¹⁵ = 205597349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205630091 and 205630100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205630157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129108 + ... + 130690.

It is an arithmetic number, because the mean of its divisors is an integer number (10924848).

Almost surely, 2^205630117 is an apocalyptic number.

It is an amenable number.

205630117 is a deficient number, since it is larger than the sum of its proper divisors (56566235).

205630117 is a wasteful number, since it uses less digits than its factorization.

205630117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 205630117 is about 14339.8088202040. The cubic root of 205630117 is about 590.2403664871.

Adding to 205630117 its reverse (711036502), we get a palindrome (916666619).

The spelling of 205630117 in words is "two hundred five million, six hundred thirty thousand, one hundred seventeen".