82457967409 has 2 divisors, whose sum is σ = 82457967410. Its totient is φ = 82457967408.

The previous prime is 82457967349. The next prime is 82457967439. The reversal of 82457967409 is 90476975428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73033441009 + 9424526400 = 270247^2 + 97080^2 .

It is a cyclic number.

It is not a de Polignac number, because 82457967409 - 2⁷ = 82457967281 is a prime.

It is not a weakly prime, because it can be changed into another prime (82457967439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41228983704 + 41228983705.

It is an arithmetic number, because the mean of its divisors is an integer number (41228983705).

Almost surely, 2^82457967409 is an apocalyptic number.

It is an amenable number.

82457967409 is a deficient number, since it is larger than the sum of its proper divisors (1).

82457967409 is an equidigital number, since it uses as much as digits as its factorization.

82457967409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 82457967409 in words is "eighty-two billion, four hundred fifty-seven million, nine hundred sixty-seven thousand, four hundred nine".