82537201 has 2 divisors, whose sum is σ = 82537202. Its totient is φ = 82537200.

The previous prime is 82537187. The next prime is 82537207. The reversal of 82537201 is 10273528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49773025 + 32764176 = 7055^2 + 5724^2 .

It is a cyclic number.

It is not a de Polignac number, because 82537201 - 2⁹ = 82536689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82537201.

It is not a weakly prime, because it can be changed into another prime (82537207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41268600 + 41268601.

It is an arithmetic number, because the mean of its divisors is an integer number (41268601).

Almost surely, 2^82537201 is an apocalyptic number.

It is an amenable number.

82537201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82537201 is an equidigital number, since it uses as much as digits as its factorization.

82537201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 82537201 is about 9084.9986791413. The cubic root of 82537201 is about 435.3948078107.

The spelling of 82537201 in words is "eighty-two million, five hundred thirty-seven thousand, two hundred one".