20585205 has 32 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 10889856.

The previous prime is 20585203. The next prime is 20585219. The reversal of 20585205 is 50258502.

It is not a de Polignac number, because 20585205 - 2¹ = 20585203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585203) 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, 18217 + ... + 19313.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 2^20585205 is an apocalyptic number.

It is an amenable number.

20585205 is a deficient number, since it is larger than the sum of its proper divisors (16307595).

20585205 is a wasteful number, since it uses less digits than its factorization.

20585205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 20585205 is about 4537.0921304289. The cubic root of 20585205 is about 274.0638359798.

It can be divided in two parts, 20 and 585205, that added together give a square (585225 = 765²).

The spelling of 20585205 in words is "twenty million, five hundred eighty-five thousand, two hundred five".