20117205 has 24 divisors (see below), whose sum is σ = 36922392. Its totient is φ = 10097664.

The previous prime is 20117179. The next prime is 20117231. The reversal of 20117205 is 50271102.

It is an interprime number because it is at equal distance from previous prime (20117179) and next prime (20117231).

It can be written as a sum of positive squares in 4 ways, for example, as 3908529 + 16208676 = 1977^2 + 4026^2 .

It is not a de Polignac number, because 20117205 - 2⁵ = 20117173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12384 + ... + 13913.

It is an arithmetic number, because the mean of its divisors is an integer number (1538433).

Almost surely, 2^20117205 is an apocalyptic number.

It is an amenable number.

20117205 is a deficient number, since it is larger than the sum of its proper divisors (16805187).

20117205 is a wasteful number, since it uses less digits than its factorization.

20117205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26325 (or 26322 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 20117205 is about 4485.2207303543. The cubic root of 20117205 is about 271.9709681024.

Adding to 20117205 its reverse (50271102), we get a palindrome (70388307).

It can be divided in two parts, 2011 and 7205, that added together give a square (9216 = 96²).

The spelling of 20117205 in words is "twenty million, one hundred seventeen thousand, two hundred five".