82714067284153 has 2 divisors, whose sum is σ = 82714067284154. Its totient is φ = 82714067284152.

The previous prime is 82714067284081. The next prime is 82714067284193. The reversal of 82714067284153 is 35148276041728.

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., 61256716328889 + 21457350955264 = 7826667^2 + 4632208^2 .

It is a cyclic number.

It is not a de Polignac number, because 82714067284153 - 2³⁷ = 82576628330681 is a prime.

It is not a weakly prime, because it can be changed into another prime (82714067284193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41357033642076 + 41357033642077.

It is an arithmetic number, because the mean of its divisors is an integer number (41357033642077).

Almost surely, 2^{82714067284153} is an apocalyptic number.

It is an amenable number.

82714067284153 is a deficient number, since it is larger than the sum of its proper divisors (1).

82714067284153 is an equidigital number, since it uses as much as digits as its factorization.

82714067284153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 82714067284153 in words is "eighty-two trillion, seven hundred fourteen billion, sixty-seven million, two hundred eighty-four thousand, one hundred fifty-three".