20584961 has 8 divisors (see below), whose sum is σ = 22368000. Its totient is φ = 18871920.

The previous prime is 20584957. The next prime is 20584973. The reversal of 20584961 is 16948502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20584961 - 2² = 20584957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20581961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16886 + ... + 18063.

It is an arithmetic number, because the mean of its divisors is an integer number (2796000).

Almost surely, 2^20584961 is an apocalyptic number.

It is an amenable number.

20584961 is a deficient number, since it is larger than the sum of its proper divisors (1783039).

20584961 is a wasteful number, since it uses less digits than its factorization.

20584961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34999.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 20584961 is about 4537.0652408798. The cubic root of 20584961 is about 274.0627531335.

The spelling of 20584961 in words is "twenty million, five hundred eighty-four thousand, nine hundred sixty-one".