82207784961 has 27 divisors (see below), whose sum is σ = 122738423457. Its totient is φ = 53020077480.

The previous prime is 82207784959. The next prime is 82207784977. The reversal of 82207784961 is 16948770228.

It is a happy number.

The square root of 82207784961 is 286719.

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

82207784961 is a `hidden beast` number, since 82 + 2 + 0 + 7 + 78 + 496 + 1 = 666.

It is not a de Polignac number, because 82207784961 - 2¹ = 82207784959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82207784898 and 82207784907.

It is not an unprimeable number, because it can be changed into a prime (82207784951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26663326 + ... + 26666408.

Almost surely, 2^82207784961 is an apocalyptic number.

82207784961 is the 286719-th square number.

82207784961 is the 143360-th centered octagonal number.

It is an amenable number.

82207784961 is a deficient number, since it is larger than the sum of its proper divisors (40530638496).

82207784961 is an frugal number, since it uses more digits than its factorization.

82207784961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82207784961 in words is "eighty-two billion, two hundred seven million, seven hundred eighty-four thousand, nine hundred sixty-one".