827824421 has 8 divisors (see below), whose sum is σ = 850558104. Its totient is φ = 805109760.

The previous prime is 827824411. The next prime is 827824423. The reversal of 827824421 is 124428728.

827824421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 338928100 + 488896321 = 18410^2 + 22111^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827824421 - 2¹⁸ = 827562277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827824423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163301 + ... + 168293.

It is an arithmetic number, because the mean of its divisors is an integer number (106319763).

Almost surely, 2^827824421 is an apocalyptic number.

It is an amenable number.

827824421 is a deficient number, since it is larger than the sum of its proper divisors (22733683).

827824421 is a wasteful number, since it uses less digits than its factorization.

827824421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511.

The product of its digits is 57344, while the sum is 38.

The square root of 827824421 is about 28771.9380820966. The cubic root of 827824421 is about 938.9578086437.

The spelling of 827824421 in words is "eight hundred twenty-seven million, eight hundred twenty-four thousand, four hundred twenty-one".