827120481 has 16 divisors (see below), whose sum is σ = 1217583360. Its totient is φ = 495243920.

The previous prime is 827120467. The next prime is 827120509. The reversal of 827120481 is 184021728.

It is a happy number.

827120481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 827120481 - 2⁶ = 827120417 is a prime.

It is a super-2 number, since 2×827120481² = 1368256580179342722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827120081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148251 + ... + 153728.

It is an arithmetic number, because the mean of its divisors is an integer number (76098960).

Almost surely, 2^827120481 is an apocalyptic number.

It is an amenable number.

827120481 is a deficient number, since it is larger than the sum of its proper divisors (390462879).

827120481 is a wasteful number, since it uses less digits than its factorization.

827120481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302076.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 827120481 is about 28759.7023802403. The cubic root of 827120481 is about 938.6915857655.

The spelling of 827120481 in words is "eight hundred twenty-seven million, one hundred twenty thousand, four hundred eighty-one".