82567301 has 2 divisors, whose sum is σ = 82567302. Its totient is φ = 82567300.

The previous prime is 82567259. The next prime is 82567327. The reversal of 82567301 is 10376528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48636676 + 33930625 = 6974^2 + 5825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82567301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82567501) 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, 41283650 + 41283651.

It is an arithmetic number, because the mean of its divisors is an integer number (41283651).

Almost surely, 2^82567301 is an apocalyptic number.

It is an amenable number.

82567301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82567301 is an equidigital number, since it uses as much as digits as its factorization.

82567301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82567301 is about 9086.6551051528. The cubic root of 82567301 is about 435.4477285574.

The spelling of 82567301 in words is "eighty-two million, five hundred sixty-seven thousand, three hundred one".