65617 has 2 divisors, whose sum is σ = 65618. Its totient is φ = 65616.

The previous prime is 65609. The next prime is 65629. The reversal of 65617 is 71656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 81 = 256^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 65617 - 2³ = 65609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65591 and 65600.

It is not a weakly prime, because it can be changed into another prime (65647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32808 + 32809.

It is an arithmetic number, because the mean of its divisors is an integer number (32809).

2⁶⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

65617 is a deficient number, since it is larger than the sum of its proper divisors (1).

65617 is an equidigital number, since it uses as much as digits as its factorization.

65617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 25.

The square root of 65617 is about 256.1581542719. The cubic root of 65617 is about 40.3340770454.

The spelling of 65617 in words is "sixty-five thousand, six hundred seventeen".