82620628188921 has 9 divisors (see below), whose sum is σ = 119340946772229. Its totient is φ = 55080400613436.

The previous prime is 82620628188919. The next prime is 82620628188937. The reversal of 82620628188921 is 12988182602628.

The square root of 82620628188921 is 9089589.

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

82620628188921 is a `hidden beast` number, since 8 + 262 + 0 + 6 + 281 + 8 + 8 + 92 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82620628188921 - 2¹ = 82620628188919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82620628188991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25753836 + ... + 28783698.

Almost surely, 2^{82620628188921} is an apocalyptic number.

82620628188921 is the 9089589-th square number.

82620628188921 is the 4544795-th centered octagonal number.

It is an amenable number.

82620628188921 is a deficient number, since it is larger than the sum of its proper divisors (36720318583308).

82620628188921 is an frugal number, since it uses more digits than its factorization.

82620628188921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059732 (or 3029866 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 82620628188921 in words is "eighty-two trillion, six hundred twenty billion, six hundred twenty-eight million, one hundred eighty-eight thousand, nine hundred twenty-one".