82582681 has 2 divisors, whose sum is σ = 82582682. Its totient is φ = 82582680.

The previous prime is 82582679. The next prime is 82582711. The reversal of 82582681 is 18628528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42133081 + 40449600 = 6491^2 + 6360^2 .

It is a cyclic number.

It is not a de Polignac number, because 82582681 - 2¹ = 82582679 is a prime.

It is a super-2 number, since 2×82582681² = 13639798402295522, which contains 22 as substring.

Together with 82582679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82582601) 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, 41291340 + 41291341.

It is an arithmetic number, because the mean of its divisors is an integer number (41291341).

Almost surely, 2^82582681 is an apocalyptic number.

It is an amenable number.

82582681 is a deficient number, since it is larger than the sum of its proper divisors (1).

82582681 is an equidigital number, since it uses as much as digits as its factorization.

82582681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61440, while the sum is 40.

The square root of 82582681 is about 9087.5013617606. The cubic root of 82582681 is about 435.4747641603.

The spelling of 82582681 in words is "eighty-two million, five hundred eighty-two thousand, six hundred eighty-one".