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12617 = 113137

12617 has 8 divisors (see below), whose sum is σ = 14592. Its totient is φ = 10800.

The previous prime is 12613. The next prime is 12619. The reversal of 12617 is 71621.

It is a happy number.

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 12617 - 22 = 12613 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12595 and 12604.

It is not an unprimeable number, because it can be changed into a prime (12611) 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, 323 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

212617 is an apocalyptic number.

It is an amenable number.

12617 is a deficient number, since it is larger than the sum of its proper divisors (1975).

12617 is a wasteful number, since it uses less digits than its factorization.

12617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its digits is 84, while the sum is 17.

The square root of 12617 is about 112.3254200971. The cubic root of 12617 is about 23.2801282059.

The spelling of 12617 in words is "twelve thousand, six hundred seventeen".

Divisors: 1 11 31 37 341 407 1147 12617