10417 has 4 divisors (see below), whose sum is σ = 11376. Its totient is φ = 9460.

The previous prime is 10399. The next prime is 10427. The reversal of 10417 is 71401.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 71401 = 11 ⋅6491.

It is not a de Polignac number, because 10417 - 2⁷ = 10289 is a prime.

It is a Duffinian number.

10417 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 10397 and 10406.

It is not an unprimeable number, because it can be changed into a prime (10427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (2844).

2¹⁰⁴¹⁷ is an apocalyptic number.

It is an amenable number.

10417 is a deficient number, since it is larger than the sum of its proper divisors (959).

10417 is an equidigital number, since it uses as much as digits as its factorization.

10417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10417 is about 102.0637055961. The cubic root of 10417 is about 21.8397445707.

Subtracting from 10417 its sum of digits (13), we obtain a square (10404 = 102²).

Adding to 10417 its reverse (71401), we get a palindrome (81818).

It can be divided in two parts, 104 and 17, that added together give a palindrome (121).

The spelling of 10417 in words is "ten thousand, four hundred seventeen", and thus it is an iban number.