827273265 has 64 divisors (see below), whose sum is σ = 1634906112. Its totient is φ = 347846400.

The previous prime is 827273219. The next prime is 827273287. The reversal of 827273265 is 562372728.

827273265 = 2970² + 2971² + ... + 3060².

It is not a de Polignac number, because 827273265 - 2⁷ = 827273137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450900 + ... + 452730.

It is an arithmetic number, because the mean of its divisors is an integer number (25545408).

Almost surely, 2^827273265 is an apocalyptic number.

It is an amenable number.

827273265 is a deficient number, since it is larger than the sum of its proper divisors (807632847).

827273265 is a wasteful number, since it uses less digits than its factorization.

827273265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190.

The product of its digits is 282240, while the sum is 42.

The square root of 827273265 is about 28762.3584742281. The cubic root of 827273265 is about 938.7493799357.

The spelling of 827273265 in words is "eight hundred twenty-seven million, two hundred seventy-three thousand, two hundred sixty-five".