82621105567 has 32 divisors (see below), whose sum is σ = 110988380160. Its totient is φ = 59397477120.

The previous prime is 82621105519. The next prime is 82621105583. The reversal of 82621105567 is 76550112628.

It is a cyclic number.

It is not a de Polignac number, because 82621105567 - 2¹⁵ = 82621072799 is a prime.

It is a super-2 number, since 2×82621105567² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82621109567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045059 + ... + 2085067.

It is an arithmetic number, because the mean of its divisors is an integer number (3468386880).

Almost surely, 2^82621105567 is an apocalyptic number.

82621105567 is a deficient number, since it is larger than the sum of its proper divisors (28367274593).

82621105567 is a wasteful number, since it uses less digits than its factorization.

82621105567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42103.

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 82621105567 in words is "eighty-two billion, six hundred twenty-one million, one hundred five thousand, five hundred sixty-seven".