827364033 has 6 divisors (see below), whose sum is σ = 1195081394. Its totient is φ = 551576016.

The previous prime is 827364011. The next prime is 827364047. The reversal of 827364033 is 330463728.

827364033 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 640 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 591802929 + 235561104 = 24327^2 + 15348^2 .

It is not a de Polignac number, because 827364033 - 2¹⁶ = 827298497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827362033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45964660 + ... + 45964677.

Almost surely, 2^827364033 is an apocalyptic number.

It is an amenable number.

827364033 is a deficient number, since it is larger than the sum of its proper divisors (367717361).

827364033 is a wasteful number, since it uses less digits than its factorization.

827364033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91929343 (or 91929340 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 827364033 is about 28763.9363265878. The cubic root of 827364033 is about 938.7837117142.

The spelling of 827364033 in words is "eight hundred twenty-seven million, three hundred sixty-four thousand, thirty-three".