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12417 = 34139
BaseRepresentation
bin11000010000001
3122000220
43002001
5344132
6133253
751126
oct30201
918026
1012417
119369
127229
135862
14474d
153a2c
hex3081

12417 has 4 divisors (see below), whose sum is σ = 16560. Its totient is φ = 8276.

The previous prime is 12413. The next prime is 12421. The reversal of 12417 is 71421.

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.

It is an interprime number because it is at equal distance from previous prime (12413) and next prime (12421).

It is a cyclic number.

It is not a de Polignac number, because 12417 - 22 = 12413 is a prime.

It is a D-number.

12417 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 12396 and 12405.

It is not an unprimeable number, because it can be changed into a prime (12413) 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, 2067 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

It is a Proth number, since it is equal to 97 ⋅ 27 + 1 and 97 < 27.

212417 is an apocalyptic number.

It is an amenable number.

12417 is a deficient number, since it is larger than the sum of its proper divisors (4143).

12417 is an equidigital number, since it uses as much as digits as its factorization.

12417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142.

The product of its digits is 56, while the sum is 15.

The square root of 12417 is about 111.4315933656. The cubic root of 12417 is about 23.1564631383.

Adding to 12417 its reverse (71421), we get a palindrome (83838).

It can be divided in two parts, 124 and 17, that added together give a palindrome (141).

The spelling of 12417 in words is "twelve thousand, four hundred seventeen", and thus it is an iban number.

Divisors: 1 3 4139 12417