121617 has 6 divisors (see below), whose sum is σ = 175682. Its totient is φ = 81072.

The previous prime is 121609. The next prime is 121621. The reversal of 121617 is 716121.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 16641 = 324^2 + 129^2 .

It is not a de Polignac number, because 121617 - 2³ = 121609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121617.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121617.

It is not an unprimeable number, because it can be changed into a prime (121607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6748 + ... + 6765.

2¹²¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

121617 is a deficient number, since it is larger than the sum of its proper divisors (54065).

121617 is a wasteful number, since it uses less digits than its factorization.

121617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13516 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 121617 is about 348.7362900531. The cubic root of 121617 is about 49.5448018013.

Adding to 121617 its reverse (716121), we get a palindrome (837738).

The spelling of 121617 in words is "one hundred twenty-one thousand, six hundred seventeen".