827321122341 has 96 divisors (see below), whose sum is σ = 1487956324608. Its totient is φ = 432225331200.

The previous prime is 827321122301. The next prime is 827321122367. The reversal of 827321122341 is 143221123728.

827321122341 is a `hidden beast` number, since 8 + 273 + 21 + 1 + 22 + 341 = 666.

It is not a de Polignac number, because 827321122341 - 2⁷ = 827321122213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827321122296 and 827321122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827321122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5660910 + ... + 5805216.

It is an arithmetic number, because the mean of its divisors is an integer number (15499545048).

Almost surely, 2^827321122341 is an apocalyptic number.

It is an amenable number.

827321122341 is a deficient number, since it is larger than the sum of its proper divisors (660635202267).

827321122341 is a wasteful number, since it uses less digits than its factorization.

827321122341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144491 (or 144488 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 827321122341 in words is "eight hundred twenty-seven billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred forty-one".