827236305 has 48 divisors (see below), whose sum is σ = 1642053504. Its totient is φ = 377395200.

The previous prime is 827236301. The next prime is 827236321. The reversal of 827236305 is 503632728.

It is not a de Polignac number, because 827236305 - 2² = 827236301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827236305.

It is not an unprimeable number, because it can be changed into a prime (827236301) 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 47 ways as a sum of consecutive naturals, for example, 169905 + ... + 174705.

It is an arithmetic number, because the mean of its divisors is an integer number (34209448).

Almost surely, 2^827236305 is an apocalyptic number.

It is an amenable number.

827236305 is a deficient number, since it is larger than the sum of its proper divisors (814817199).

827236305 is a wasteful number, since it uses less digits than its factorization.

827236305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 827236305 is about 28761.7159606307. The cubic root of 827236305 is about 938.7353995920.

It can be divided in two parts, 827236 and 305, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 827236305 in words is "eight hundred twenty-seven million, two hundred thirty-six thousand, three hundred five".