82926320619321 has 45 divisors (see below), whose sum is σ = 125655736189269. Its totient is φ = 54501738165000.

The previous prime is 82926320619281. The next prime is 82926320619419. The reversal of 82926320619321 is 12391602362928.

The square root of 82926320619321 is 9106389.

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

82926320619321 is a `hidden beast` number, since 8 + 29 + 263 + 20 + 6 + 19 + 321 = 666.

It is not a de Polignac number, because 82926320619321 - 2⁷ = 82926320619193 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82926320619521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5818975446 + ... + 5818989696.

Almost surely, 2^{82926320619321} is an apocalyptic number.

82926320619321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82926320619321 is the 9106389-th square number.

82926320619321 is the 4553195-th centered octagonal number.

It is an amenable number.

82926320619321 is a deficient number, since it is larger than the sum of its proper divisors (42729415569948).

82926320619321 is an frugal number, since it uses more digits than its factorization.

82926320619321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28656 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 82926320619321 in words is "eighty-two trillion, nine hundred twenty-six billion, three hundred twenty million, six hundred nineteen thousand, three hundred twenty-one".