83617 has 2 divisors, whose sum is σ = 83618. Its totient is φ = 83616.

The previous prime is 83609. The next prime is 83621. The reversal of 83617 is 71638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 5776 = 279^2 + 76^2 .

83617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 83617 - 2³ = 83609 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83591 and 83600.

It is not a weakly prime, because it can be changed into another prime (83117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41808 + 41809.

It is an arithmetic number, because the mean of its divisors is an integer number (41809).

2⁸³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

83617 is a deficient number, since it is larger than the sum of its proper divisors (1).

83617 is an equidigital number, since it uses as much as digits as its factorization.

83617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 83617 is about 289.1660422664. The cubic root of 83617 is about 43.7285282393.

The spelling of 83617 in words is "eighty-three thousand, six hundred seventeen".