20584149 has 16 divisors (see below), whose sum is σ = 28771200. Its totient is φ = 13065536.

The previous prime is 20584141. The next prime is 20584153. The reversal of 20584149 is 94148502.

It is a cyclic number.

It is not a de Polignac number, because 20584149 - 2³ = 20584141 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20584141) 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, 18007 + ... + 19115.

It is an arithmetic number, because the mean of its divisors is an integer number (1798200).

Almost surely, 2^20584149 is an apocalyptic number.

It is an amenable number.

20584149 is a deficient number, since it is larger than the sum of its proper divisors (8187051).

20584149 is a wasteful number, since it uses less digits than its factorization.

20584149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 20584149 is about 4536.9757548393. The cubic root of 20584149 is about 274.0591495014.

The spelling of 20584149 in words is "twenty million, five hundred eighty-four thousand, one hundred forty-nine".