20585953 has 16 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 19126800.

The previous prime is 20585947. The next prime is 20585993. The reversal of 20585953 is 35958502.

It is a cyclic number.

It is not a de Polignac number, because 20585953 - 2⁹ = 20585441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20585993) 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, 103348 + ... + 103546.

It is an arithmetic number, because the mean of its divisors is an integer number (1382400).

Almost surely, 2^20585953 is an apocalyptic number.

It is an amenable number.

20585953 is a deficient number, since it is larger than the sum of its proper divisors (1532447).

20585953 is a wasteful number, since it uses less digits than its factorization.

20585953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 20585953 is about 4537.1745613322. The cubic root of 20585953 is about 274.0671554718.

The spelling of 20585953 in words is "twenty million, five hundred eighty-five thousand, nine hundred fifty-three".