82261687345 has 8 divisors (see below), whose sum is σ = 104520732264. Its totient is φ = 61938211584.

The previous prime is 82261687309. The next prime is 82261687357. The reversal of 82261687345 is 54378616228.

It can be written as a sum of positive squares in 4 ways, for example, as 29821145344 + 52440542001 = 172688^2 + 228999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82261687345 - 2¹⁹ = 82261163057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82261687292 and 82261687301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 483892194 + ... + 483892363.

It is an arithmetic number, because the mean of its divisors is an integer number (13065091533).

Almost surely, 2^82261687345 is an apocalyptic number.

82261687345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82261687345 is a deficient number, since it is larger than the sum of its proper divisors (22259044919).

82261687345 is a wasteful number, since it uses less digits than its factorization.

82261687345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967784579.

The product of its digits is 3870720, while the sum is 52.

The spelling of 82261687345 in words is "eighty-two billion, two hundred sixty-one million, six hundred eighty-seven thousand, three hundred forty-five".