20584369 has 9 divisors (see below), whose sum is σ = 22353633. Its totient is φ = 18946512.

The previous prime is 20584367. The next prime is 20584373. The reversal of 20584369 is 96348502.

The square root of 20584369 is 4537.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 442225 + 20142144 = 665^2 + 4488^2 .

It is not a de Polignac number, because 20584369 - 2¹ = 20584367 is a prime.

It is a super-2 number, since 2×20584369² = 847432494256322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20584363) 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 8 ways as a sum of consecutive naturals, for example, 58807 + ... + 59155.

It is an arithmetic number, because the mean of its divisors is an integer number (2483737).

Almost surely, 2^20584369 is an apocalyptic number.

20584369 is the 4537-th square number.

20584369 is the 2269-th centered octagonal number.

It is an amenable number.

20584369 is a deficient number, since it is larger than the sum of its proper divisors (1769264).

20584369 is an frugal number, since it uses more digits than its factorization.

20584369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 20584369 is about 274.0601258643.

The spelling of 20584369 in words is "twenty million, five hundred eighty-four thousand, three hundred sixty-nine".