83689 has 2 divisors, whose sum is σ = 83690. Its totient is φ = 83688.

The previous prime is 83663. The next prime is 83701. The reversal of 83689 is 98638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 3600 = 283^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 83689 - 2⁷ = 83561 is a prime.

It is not a weakly prime, because it can be changed into another prime (83609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41844 + 41845.

It is an arithmetic number, because the mean of its divisors is an integer number (41845).

2⁸³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

83689 is a deficient number, since it is larger than the sum of its proper divisors (1).

83689 is an equidigital number, since it uses as much as digits as its factorization.

83689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 34.

The square root of 83689 is about 289.2905114241. The cubic root of 83689 is about 43.7410757307.

The spelling of 83689 in words is "eighty-three thousand, six hundred eighty-nine".