827102282345 has 8 divisors (see below), whose sum is σ = 992528941320. Its totient is φ = 661677690880.

The previous prime is 827102282339. The next prime is 827102282351. The reversal of 827102282345 is 543282201728.

It is an interprime number because it is at equal distance from previous prime (827102282339) and next prime (827102282351).

It can be written as a sum of positive squares in 4 ways, for example, as 29138831401 + 797963450944 = 170701^2 + 893288^2 .

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

It is not a de Polignac number, because 827102282345 - 2⁴ = 827102282329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827102282296 and 827102282305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571625 + ... + 1407465.

It is an arithmetic number, because the mean of its divisors is an integer number (124066117665).

Almost surely, 2^827102282345 is an apocalyptic number.

It is an amenable number.

827102282345 is a deficient number, since it is larger than the sum of its proper divisors (165426658975).

827102282345 is a wasteful number, since it uses less digits than its factorization.

827102282345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033755.

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 827102282345 in words is "eight hundred twenty-seven billion, one hundred two million, two hundred eighty-two thousand, three hundred forty-five".