201617 has 6 divisors (see below), whose sum is σ = 218502. Its totient is φ = 185952.

The previous prime is 201611. The next prime is 201623. The reversal of 201617 is 716102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201611) and next prime (201623).

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 201601 = 4^2 + 449^2 .

It is not a de Polignac number, because 201617 - 2¹² = 197521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201595 and 201604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 201617.

It is not an unprimeable number, because it can be changed into a prime (201611) 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, 428 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (36417).

2²⁰¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

201617 is a deficient number, since it is larger than the sum of its proper divisors (16885).

201617 is a wasteful number, since it uses less digits than its factorization.

201617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

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

The square root of 201617 is about 449.0178170184. The cubic root of 201617 is about 58.6375364737.

Adding to 201617 its reverse (716102), we get a palindrome (917719).

It can be divided in two parts, 201 and 617, that added together give a palindrome (818).

The spelling of 201617 in words is "two hundred one thousand, six hundred seventeen".