82457967329 has 2 divisors, whose sum is σ = 82457967330. Its totient is φ = 82457967328.

The previous prime is 82457967287. The next prime is 82457967349. The reversal of 82457967329 is 92376975428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46233600400 + 36224366929 = 215020^2 + 190327^2 .

It is a cyclic number.

It is not a de Polignac number, because 82457967329 - 2²⁸ = 82189531873 is a prime.

It is not a weakly prime, because it can be changed into another prime (82457967349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41228983664 + 41228983665.

It is an arithmetic number, because the mean of its divisors is an integer number (41228983665).

Almost surely, 2^82457967329 is an apocalyptic number.

It is an amenable number.

82457967329 is a deficient number, since it is larger than the sum of its proper divisors (1).

82457967329 is an equidigital number, since it uses as much as digits as its factorization.

82457967329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45722880, while the sum is 62.

The spelling of 82457967329 in words is "eighty-two billion, four hundred fifty-seven million, nine hundred sixty-seven thousand, three hundred twenty-nine".