20005417 has 8 divisors (see below), whose sum is σ = 20560680. Its totient is φ = 19453440.

The previous prime is 20005397. The next prime is 20005429. The reversal of 20005417 is 71450002.

It can be written as a sum of positive squares in 4 ways, for example, as 2499561 + 17505856 = 1581^2 + 4184^2 .

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 20005417 - 2⁷ = 20005289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20005394 and 20005403.

It is not an unprimeable number, because it can be changed into a prime (20005717) 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, 16173 + ... + 17365.

It is an arithmetic number, because the mean of its divisors is an integer number (2570085).

Almost surely, 2^20005417 is an apocalyptic number.

It is an amenable number.

20005417 is a deficient number, since it is larger than the sum of its proper divisors (555263).

20005417 is a wasteful number, since it uses less digits than its factorization.

20005417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20005417 is about 4472.7415530075. The cubic root of 20005417 is about 271.4662661143.

Adding to 20005417 its reverse (71450002), we get a palindrome (91455419).

The spelling of 20005417 in words is "twenty million, five thousand, four hundred seventeen".