83688617 has 2 divisors, whose sum is σ = 83688618. Its totient is φ = 83688616.

The previous prime is 83688613. The next prime is 83688629. The reversal of 83688617 is 71688638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48594841 + 35093776 = 6971^2 + 5924^2 .

It is a cyclic number.

It is not a de Polignac number, because 83688617 - 2² = 83688613 is a prime.

It is a super-3 number, since 3×83688617³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (83688611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41844308 + 41844309.

It is an arithmetic number, because the mean of its divisors is an integer number (41844309).

Almost surely, 2^83688617 is an apocalyptic number.

It is an amenable number.

83688617 is a deficient number, since it is larger than the sum of its proper divisors (1).

83688617 is an equidigital number, since it uses as much as digits as its factorization.

83688617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 387072, while the sum is 47.

The square root of 83688617 is about 9148.1482825761. The cubic root of 83688617 is about 437.4100900410.

The spelling of 83688617 in words is "eighty-three million, six hundred eighty-eight thousand, six hundred seventeen".