20584973 has 2 divisors, whose sum is σ = 20584974. Its totient is φ = 20584972.

The previous prime is 20584957. The next prime is 20584979. The reversal of 20584973 is 37948502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20268004 + 316969 = 4502^2 + 563^2 .

It is a cyclic number.

It is not a de Polignac number, because 20584973 - 2⁴ = 20584957 is a prime.

It is a super-2 number, since 2×20584973² = 847482226821458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20584979) 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, 10292486 + 10292487.

It is an arithmetic number, because the mean of its divisors is an integer number (10292487).

Almost surely, 2^20584973 is an apocalyptic number.

It is an amenable number.

20584973 is a deficient number, since it is larger than the sum of its proper divisors (1).

20584973 is an equidigital number, since it uses as much as digits as its factorization.

20584973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 20584973 is about 4537.0665633204. The cubic root of 20584973 is about 274.0628063884.

The spelling of 20584973 in words is "twenty million, five hundred eighty-four thousand, nine hundred seventy-three".