82005107 has 2 divisors, whose sum is σ = 82005108. Its totient is φ = 82005106.

The previous prime is 82005089. The next prime is 82005163. The reversal of 82005107 is 70150028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82005107 - 2¹⁴ = 81988723 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82008107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41002553 + 41002554.

It is an arithmetic number, because the mean of its divisors is an integer number (41002554).

Almost surely, 2^82005107 is an apocalyptic number.

82005107 is a deficient number, since it is larger than the sum of its proper divisors (1).

82005107 is an equidigital number, since it uses as much as digits as its factorization.

82005107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 82005107 is about 9055.6671206488. The cubic root of 82005107 is about 434.4571676038.

The spelling of 82005107 in words is "eighty-two million, five thousand, one hundred seven".