827065827 has 48 divisors (see below), whose sum is σ = 1479329280. Its totient is φ = 434439936.

The previous prime is 827065787. The next prime is 827065853. The reversal of 827065827 is 728560728.

It is not a de Polignac number, because 827065827 - 2¹⁹ = 826541539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827065927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37074 + ... + 55032.

It is an arithmetic number, because the mean of its divisors is an integer number (30819360).

Almost surely, 2^827065827 is an apocalyptic number.

827065827 is a deficient number, since it is larger than the sum of its proper divisors (652263453).

827065827 is a wasteful number, since it uses less digits than its factorization.

827065827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18029 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 827065827 is about 28758.7521808579. The cubic root of 827065827 is about 938.6709098659.

The spelling of 827065827 in words is "eight hundred twenty-seven million, sixty-five thousand, eight hundred twenty-seven".