102617 has 4 divisors (see below), whose sum is σ = 103860. Its totient is φ = 101376.

The previous prime is 102611. The next prime is 102643. The reversal of 102617 is 716201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 52441 = 224^2 + 229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102595 and 102604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102617.

It is not an unprimeable number, because it can be changed into a prime (102611) 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, 488 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (25965).

2¹⁰²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

102617 is a deficient number, since it is larger than the sum of its proper divisors (1243).

102617 is an equidigital number, since it uses as much as digits as its factorization.

102617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242.

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

The square root of 102617 is about 320.3388830598. The cubic root of 102617 is about 46.8173079869.

Adding to 102617 its reverse (716201), we get a palindrome (818818).

The spelling of 102617 in words is "one hundred two thousand, six hundred seventeen".