20131585 has 8 divisors (see below), whose sum is σ = 24194880. Its totient is φ = 16080624.

The previous prime is 20131577. The next prime is 20131603. The reversal of 20131585 is 58513102.

It is a happy number.

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 20131585 - 2³ = 20131577 is a prime.

It is a super-2 number, since 2×20131585² = 810561429224450, which contains 22 as substring.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 6424.

It is an arithmetic number, because the mean of its divisors is an integer number (3024360).

Almost surely, 2^20131585 is an apocalyptic number.

It is an amenable number.

20131585 is a deficient number, since it is larger than the sum of its proper divisors (4063295).

20131585 is an equidigital number, since it uses as much as digits as its factorization.

20131585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 20131585 is about 4486.8234866105. The cubic root of 20131585 is about 272.0357552838.

Adding to 20131585 its reverse (58513102), we get a palindrome (78644687).

The spelling of 20131585 in words is "twenty million, one hundred thirty-one thousand, five hundred eighty-five".