123617 has 8 divisors (see below), whose sum is σ = 137256. Its totient is φ = 110592.

The previous prime is 123601. The next prime is 123619. The reversal of 123617 is 716321.

It is a happy number.

123617 is nontrivially palindromic in base 15 and base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 58081 + 65536 = 241^2 + 256^2 .

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 123617 - 2⁴ = 123601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123619) 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, 353 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (17157).

2¹²³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

123617 is a deficient number, since it is larger than the sum of its proper divisors (13639).

123617 is a wasteful number, since it uses less digits than its factorization.

123617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its digits is 252, while the sum is 20.

The square root of 123617 is about 351.5920931989. The cubic root of 123617 is about 49.8149157216.

Adding to 123617 its reverse (716321), we get a palindrome (839938).

Subtracting 123617 from its reverse (716321), we obtain a cube (592704 = 84³).

It can be divided in two parts, 1236 and 17, that multiplied together give a palindrome (21012).

The spelling of 123617 in words is "one hundred twenty-three thousand, six hundred seventeen".