82097681 has 2 divisors, whose sum is σ = 82097682. Its totient is φ = 82097680.

The previous prime is 82097677. The next prime is 82097683. The reversal of 82097681 is 18679028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79566400 + 2531281 = 8920^2 + 1591^2 .

It is a cyclic number.

It is not a de Polignac number, because 82097681 - 2² = 82097677 is a prime.

It is a super-2 number, since 2×82097681² = 13480058451155522, which contains 22 as substring.

Together with 82097683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82097683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41048840 + 41048841.

It is an arithmetic number, because the mean of its divisors is an integer number (41048841).

Almost surely, 2^82097681 is an apocalyptic number.

It is an amenable number.

82097681 is a deficient number, since it is larger than the sum of its proper divisors (1).

82097681 is an equidigital number, since it uses as much as digits as its factorization.

82097681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 82097681 is about 9060.7770638064. Note that the first 3 decimals coincide. The cubic root of 82097681 is about 434.6205895925.

The spelling of 82097681 in words is "eighty-two million, ninety-seven thousand, six hundred eighty-one".