82568401 has 2 divisors, whose sum is σ = 82568402. Its totient is φ = 82568400.

The previous prime is 82568359. The next prime is 82568411. The reversal of 82568401 is 10486528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68310225 + 14258176 = 8265^2 + 3776^2 .

It is a cyclic number.

It is not a de Polignac number, because 82568401 - 2²¹ = 80471249 is a prime.

It is not a weakly prime, because it can be changed into another prime (82568411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41284200 + 41284201.

It is an arithmetic number, because the mean of its divisors is an integer number (41284201).

Almost surely, 2^82568401 is an apocalyptic number.

It is an amenable number.

82568401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82568401 is an equidigital number, since it uses as much as digits as its factorization.

82568401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 82568401 is about 9086.7156332748. The cubic root of 82568401 is about 435.4496622946.

The spelling of 82568401 in words is "eighty-two million, five hundred sixty-eight thousand, four hundred one".