827310852 has 18 divisors (see below), whose sum is σ = 2091258078. Its totient is φ = 275770272.

The previous prime is 827310821. The next prime is 827310871. The reversal of 827310852 is 258013728.

It can be written as a sum of positive squares in only one way, i.e., 526427136 + 300883716 = 22944^2 + 17346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22980857 = 827310852 / (8 + 2 + 7 + 3 + 1 + 0 + 8 + 5 + 2).

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 5 ways as a sum of consecutive naturals, for example, 11490393 + ... + 11490464.

Almost surely, 2^827310852 is an apocalyptic number.

It is an amenable number.

827310852 is an abundant number, since it is smaller than the sum of its proper divisors (1263947226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827310852 is a wasteful number, since it uses less digits than its factorization.

827310852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980867 (or 22980862 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 827310852 is about 28763.0118728898. The cubic root of 827310852 is about 938.7635970189.

The spelling of 827310852 in words is "eight hundred twenty-seven million, three hundred ten thousand, eight hundred fifty-two".