20585993 has 2 divisors, whose sum is σ = 20585994. Its totient is φ = 20585992.

The previous prime is 20585947. The next prime is 20586017. The reversal of 20585993 is 39958502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18939904 + 1646089 = 4352^2 + 1283^2 .

It is a cyclic number.

It is not a de Polignac number, because 20585993 - 2²⁰ = 19537417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20585993.

It is not a weakly prime, because it can be changed into another prime (20585093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10292996 + 10292997.

It is an arithmetic number, because the mean of its divisors is an integer number (10292997).

Almost surely, 2^20585993 is an apocalyptic number.

It is an amenable number.

20585993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20585993 is an equidigital number, since it uses as much as digits as its factorization.

20585993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 41.

The square root of 20585993 is about 4537.1789693597. The cubic root of 20585993 is about 274.0673329824.

The spelling of 20585993 in words is "twenty million, five hundred eighty-five thousand, nine hundred ninety-three".