82467666731241 has 225 divisors, whose sum is σ = 140545638105015. Its totient is φ = 48188325794400.

The previous prime is 82467666731213. The next prime is 82467666731243. The reversal of 82467666731241 is 14213766676428.

The square root of 82467666731241 is 9081171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5425969255641 + 77041697475600 = 2329371^2 + 8777340^2 .

It is not a de Polignac number, because 82467666731241 - 2³⁷ = 82330227777769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82467666731243) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 306571251655 + ... + 306571251923.

Almost surely, 2^{82467666731241} is an apocalyptic number.

82467666731241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82467666731241 is the 9081171-st square number.

82467666731241 is the 4540586-th centered octagonal number.

It is an amenable number.

82467666731241 is a deficient number, since it is larger than the sum of its proper divisors (58077971373774).

82467666731241 is an frugal number, since it uses more digits than its factorization.

82467666731241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 314 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 82467666731241 in words is "eighty-two trillion, four hundred sixty-seven billion, six hundred sixty-six million, seven hundred thirty-one thousand, two hundred forty-one".