82601 has 2 divisors, whose sum is σ = 82602. Its totient is φ = 82600.

The previous prime is 82591. The next prime is 82609. The reversal of 82601 is 10628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 19600 = 251^2 + 140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82601 is a prime.

It is a super-3 number, since 3×82601³ = 1690741333583403, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82601.

It is not a weakly prime, because it can be changed into another prime (82609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41300 + 41301.

It is an arithmetic number, because the mean of its divisors is an integer number (41301).

2⁸²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

82601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82601 is an equidigital number, since it uses as much as digits as its factorization.

82601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82601 is about 287.4038969812. The cubic root of 82601 is about 43.5506961680.

The spelling of 82601 in words is "eighty-two thousand, six hundred one".