82889 has 2 divisors, whose sum is σ = 82890. Its totient is φ = 82888.

The previous prime is 82883. The next prime is 82891. The reversal of 82889 is 98828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 4489 = 280^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 82889 - 2⁸ = 82633 is a prime.

It is a Sophie Germain prime.

Together with 82891, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41444 + 41445.

It is an arithmetic number, because the mean of its divisors is an integer number (41445).

2⁸²⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

82889 is a deficient number, since it is larger than the sum of its proper divisors (1).

82889 is an equidigital number, since it uses as much as digits as its factorization.

82889 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 35.

The square root of 82889 is about 287.9044980545. The cubic root of 82889 is about 43.6012526644.

The spelling of 82889 in words is "eighty-two thousand, eight hundred eighty-nine".