827365473 has 24 divisors (see below), whose sum is σ = 1338969216. Its totient is φ = 487879200.

The previous prime is 827365471. The next prime is 827365501. The reversal of 827365473 is 374563728.

It is not a de Polignac number, because 827365473 - 2¹ = 827365471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827365471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109273 + ... + 116598.

It is an arithmetic number, because the mean of its divisors is an integer number (55790384).

Almost surely, 2^827365473 is an apocalyptic number.

It is an amenable number.

827365473 is a deficient number, since it is larger than the sum of its proper divisors (511603743).

827365473 is a wasteful number, since it uses less digits than its factorization.

827365473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225925 (or 225922 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 827365473 is about 28763.9613579215. The cubic root of 827365473 is about 938.7842563547.

It can be divided in two parts, 82736 and 5473, that added together give a square (88209 = 297²).

The spelling of 827365473 in words is "eight hundred twenty-seven million, three hundred sixty-five thousand, four hundred seventy-three".