827312949 has 12 divisors (see below), whose sum is σ = 1196005356. Its totient is φ = 551081472.

The previous prime is 827312929. The next prime is 827312963. The reversal of 827312949 is 949213728.

It can be written as a sum of positive squares in 2 ways, for example, as 415425924 + 411887025 = 20382^2 + 20295^2 .

It is not a de Polignac number, because 827312949 - 2⁸ = 827312693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827312909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26814 + ... + 48719.

It is an arithmetic number, because the mean of its divisors is an integer number (99667113).

Almost surely, 2^827312949 is an apocalyptic number.

It is an amenable number.

827312949 is a deficient number, since it is larger than the sum of its proper divisors (368692407).

827312949 is a wasteful number, since it uses less digits than its factorization.

827312949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76756 (or 76753 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 827312949 is about 28763.0483259337. The cubic root of 827312949 is about 938.7643901853.

The spelling of 827312949 in words is "eight hundred twenty-seven million, three hundred twelve thousand, nine hundred forty-nine".