20205211 has 16 divisors (see below), whose sum is σ = 22667008. Its totient is φ = 17884800.

The previous prime is 20205193. The next prime is 20205223. The reversal of 20205211 is 11250202.

It is a cyclic number.

It is not a de Polignac number, because 20205211 - 2¹⁵ = 20172443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20205191 and 20205200.

It is not an unprimeable number, because it can be changed into a prime (20205281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72805 + ... + 73081.

It is an arithmetic number, because the mean of its divisors is an integer number (1416688).

Almost surely, 2^20205211 is an apocalyptic number.

20205211 is a deficient number, since it is larger than the sum of its proper divisors (2461797).

20205211 is a wasteful number, since it uses less digits than its factorization.

20205211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20205211 is about 4495.0206896076. The cubic root of 20205211 is about 272.3669849938.

Adding to 20205211 its reverse (11250202), we get a palindrome (31455413).

The spelling of 20205211 in words is "twenty million, two hundred five thousand, two hundred eleven".