20584013 has 2 divisors, whose sum is σ = 20584014. Its totient is φ = 20584012.

The previous prime is 20584007. The next prime is 20584021. The reversal of 20584013 is 31048502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18472804 + 2111209 = 4298^2 + 1453^2 .

It is a cyclic number.

It is not a de Polignac number, because 20584013 - 2⁶ = 20583949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20584013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20584513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10292006 + 10292007.

It is an arithmetic number, because the mean of its divisors is an integer number (10292007).

Almost surely, 2^20584013 is an apocalyptic number.

It is an amenable number.

20584013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20584013 is an equidigital number, since it uses as much as digits as its factorization.

20584013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 20584013 is about 4536.9607668570. The cubic root of 20584013 is about 274.0585459281.

The spelling of 20584013 in words is "twenty million, five hundred eighty-four thousand, thirteen".