827149473 has 12 divisors (see below), whose sum is σ = 1196335140. Its totient is φ = 550711296.

The previous prime is 827149469. The next prime is 827149487. The reversal of 827149473 is 374941728.

It can be written as a sum of positive squares in 2 ways, for example, as 304432704 + 522716769 = 17448^2 + 22863^2 .

It is not a de Polignac number, because 827149473 - 2² = 827149469 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (827149403) 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 11 ways as a sum of consecutive naturals, for example, 52836 + ... + 66677.

It is an arithmetic number, because the mean of its divisors is an integer number (99694595).

Almost surely, 2^827149473 is an apocalyptic number.

It is an amenable number.

827149473 is a deficient number, since it is larger than the sum of its proper divisors (369185667).

827149473 is a wasteful number, since it uses less digits than its factorization.

827149473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120288 (or 120285 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 827149473 is about 28760.2064144192. The cubic root of 827149473 is about 938.7025532239.

The spelling of 827149473 in words is "eight hundred twenty-seven million, one hundred forty-nine thousand, four hundred seventy-three".