13821071417 has 8 divisors (see below), whose sum is σ = 14709903336. Its totient is φ = 12940664832.

The previous prime is 13821071413. The next prime is 13821071441. The reversal of 13821071417 is 71417012831.

It can be written as a sum of positive squares in 4 ways, for example, as 1379676736 + 12441394681 = 37144^2 + 111541^2 .

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 13821071417 - 2² = 13821071413 is a prime.

It is a super-2 number, since 2×13821071417² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13821071413) 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, 2102948 + ... + 2109509.

It is an arithmetic number, because the mean of its divisors is an integer number (1838737917).

Almost surely, 2^13821071417 is an apocalyptic number.

13821071417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13821071417 is a deficient number, since it is larger than the sum of its proper divisors (888831919).

13821071417 is a wasteful number, since it uses less digits than its factorization.

13821071417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212667.

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 13821071417 in words is "thirteen billion, eight hundred twenty-one million, seventy-one thousand, four hundred seventeen".