82583201 has 2 divisors, whose sum is σ = 82583202. Its totient is φ = 82583200.

The previous prime is 82583197. The next prime is 82583227. The reversal of 82583201 is 10238528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61606801 + 20976400 = 7849^2 + 4580^2 .

It is a cyclic number.

It is not a de Polignac number, because 82583201 - 2² = 82583197 is a prime.

It is not a weakly prime, because it can be changed into another prime (82583231) 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, 41291600 + 41291601.

It is an arithmetic number, because the mean of its divisors is an integer number (41291601).

Almost surely, 2^82583201 is an apocalyptic number.

It is an amenable number.

82583201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82583201 is an equidigital number, since it uses as much as digits as its factorization.

82583201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 82583201 is about 9087.5299724403. The cubic root of 82583201 is about 435.4756781792.

The spelling of 82583201 in words is "eighty-two million, five hundred eighty-three thousand, two hundred one".