827927621 has 2 divisors, whose sum is σ = 827927622. Its totient is φ = 827927620.

The previous prime is 827927593. The next prime is 827927623. The reversal of 827927621 is 126729728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 553660900 + 274266721 = 23530^2 + 16561^2 .

It is a cyclic number.

It is not a de Polignac number, because 827927621 - 2²⁶ = 760818757 is a prime.

It is a super-2 number, since 2×827927621² = 1370928291229439282, which contains 22 as substring.

Together with 827927623, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827927623) by changing a digit.

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 as a sum of consecutive naturals, namely, 413963810 + 413963811.

It is an arithmetic number, because the mean of its divisors is an integer number (413963811).

Almost surely, 2^827927621 is an apocalyptic number.

It is an amenable number.

827927621 is a deficient number, since it is larger than the sum of its proper divisors (1).

827927621 is an equidigital number, since it uses as much as digits as its factorization.

827927621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 44.

The square root of 827927621 is about 28773.7314403259. The cubic root of 827927621 is about 938.9968251377.

The spelling of 827927621 in words is "eight hundred twenty-seven million, nine hundred twenty-seven thousand, six hundred twenty-one".