82005089 has 2 divisors, whose sum is σ = 82005090. Its totient is φ = 82005088.

The previous prime is 82005041. The next prime is 82005107. The reversal of 82005089 is 98050028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72114064 + 9891025 = 8492^2 + 3145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82005089 is a prime.

It is not a weakly prime, because it can be changed into another prime (82005029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41002544 + 41002545.

It is an arithmetic number, because the mean of its divisors is an integer number (41002545).

Almost surely, 2^82005089 is an apocalyptic number.

It is an amenable number.

82005089 is a deficient number, since it is larger than the sum of its proper divisors (1).

82005089 is an equidigital number, since it uses as much as digits as its factorization.

82005089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 82005089 is about 9055.6661267960. Note that the first 3 decimals coincide. The cubic root of 82005089 is about 434.4571358163.

The spelling of 82005089 in words is "eighty-two million, five thousand, eighty-nine".