82746305634557 has 2 divisors, whose sum is σ = 82746305634558. Its totient is φ = 82746305634556.

The previous prime is 82746305634547. The next prime is 82746305634599. The reversal of 82746305634557 is 75543650364728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74337314804281 + 8408990830276 = 8621909^2 + 2899826^2 .

It is a cyclic number.

It is not a de Polignac number, because 82746305634557 - 2⁶ = 82746305634493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82746305634493 and 82746305634502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82746305634547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41373152817278 + 41373152817279.

It is an arithmetic number, because the mean of its divisors is an integer number (41373152817279).

Almost surely, 2^{82746305634557} is an apocalyptic number.

It is an amenable number.

82746305634557 is a deficient number, since it is larger than the sum of its proper divisors (1).

82746305634557 is an equidigital number, since it uses as much as digits as its factorization.

82746305634557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032000, while the sum is 65.

The spelling of 82746305634557 in words is "eighty-two trillion, seven hundred forty-six billion, three hundred five million, six hundred thirty-four thousand, five hundred fifty-seven".