13500417 has 8 divisors (see below), whose sum is σ = 20572096. Its totient is φ = 7714512.

The previous prime is 13500373. The next prime is 13500419. The reversal of 13500417 is 71400531.

13500417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13500417 - 2⁶ = 13500353 is a prime.

It is a super-2 number, since 2×13500417² = 364522518347778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 642877 = 13500417 / (1 + 3 + 5 + 0 + 0 + 4 + 1 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13500393 and 13500402.

It is not an unprimeable number, because it can be changed into a prime (13500419) 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, 321418 + ... + 321459.

It is an arithmetic number, because the mean of its divisors is an integer number (2571512).

It is a Proth number, since it is equal to 103 ⋅ 2¹⁷ + 1 and 103 < 2¹⁷.

Almost surely, 2^13500417 is an apocalyptic number.

It is an amenable number.

13500417 is a deficient number, since it is larger than the sum of its proper divisors (7071679).

13500417 is an equidigital number, since it uses as much as digits as its factorization.

13500417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642887.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13500417 is about 3674.2913602489. The cubic root of 13500417 is about 238.1126094227.

Adding to 13500417 its reverse (71400531), we get a palindrome (84900948).

The spelling of 13500417 in words is "thirteen million, five hundred thousand, four hundred seventeen".