82105613 has 2 divisors, whose sum is σ = 82105614. Its totient is φ = 82105612.

The previous prime is 82105603. The next prime is 82105633. The reversal of 82105613 is 31650128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81667369 + 438244 = 9037^2 + 662^2 .

It is a cyclic number.

It is not a de Polignac number, because 82105613 - 2²⁴ = 65328397 is a prime.

It is a super-2 number, since 2×82105613² = 13482663372211538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82105603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41052806 + 41052807.

It is an arithmetic number, because the mean of its divisors is an integer number (41052807).

Almost surely, 2^82105613 is an apocalyptic number.

It is an amenable number.

82105613 is a deficient number, since it is larger than the sum of its proper divisors (1).

82105613 is an equidigital number, since it uses as much as digits as its factorization.

82105613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 82105613 is about 9061.2147640369. The cubic root of 82105613 is about 434.6345863317.

The spelling of 82105613 in words is "eighty-two million, one hundred five thousand, six hundred thirteen".