66617 has 2 divisors, whose sum is σ = 66618. Its totient is φ = 66616.

The previous prime is 66601. The next prime is 66629. The reversal of 66617 is 71666.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 32761 = 184^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 66617 - 2⁴ = 66601 is a prime.

It is an Ulam number.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (66697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33308 + 33309.

It is an arithmetic number, because the mean of its divisors is an integer number (33309).

2⁶⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

66617 is a deficient number, since it is larger than the sum of its proper divisors (1).

66617 is an equidigital number, since it uses as much as digits as its factorization.

66617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 26.

The square root of 66617 is about 258.1026927407. The cubic root of 66617 is about 40.5379413789.

The spelling of 66617 in words is "sixty-six thousand, six hundred seventeen".