41617 has 2 divisors, whose sum is σ = 41618. Its totient is φ = 41616.

The previous prime is 41611. The next prime is 41621. The reversal of 41617 is 71614.

It is a happy number.

It is a Cunningham number, because it is equal to 204²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 1 = 204^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 41617 - 2³ = 41609 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 41617 parts by 288 straight cuts.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41594 and 41603.

It is not a weakly prime, because it can be changed into another prime (41611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20808 + 20809.

It is an arithmetic number, because the mean of its divisors is an integer number (20809).

2⁴¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

41617 is a deficient number, since it is larger than the sum of its proper divisors (1).

41617 is an equidigital number, since it uses as much as digits as its factorization.

41617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 19.

The square root of 41617 is about 204.0024509657. The cubic root of 41617 is about 34.6542834634.

The spelling of 41617 in words is "forty-one thousand, six hundred seventeen".