827111421 has 24 divisors (see below), whose sum is σ = 1272608064. Its totient is φ = 515848320.

The previous prime is 827111419. The next prime is 827111429. The reversal of 827111421 is 124111728.

It is not a de Polignac number, because 827111421 - 2¹ = 827111419 is a prime.

It is a super-2 number, since 2×827111421² = 1368226605497278482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827111429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9366 + ... + 41736.

It is an arithmetic number, because the mean of its divisors is an integer number (53025336).

Almost surely, 2^827111421 is an apocalyptic number.

It is an amenable number.

827111421 is a deficient number, since it is larger than the sum of its proper divisors (445496643).

827111421 is a wasteful number, since it uses less digits than its factorization.

827111421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32561 (or 32558 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 827111421 is about 28759.5448677478. The cubic root of 827111421 is about 938.6881583822.

The spelling of 827111421 in words is "eight hundred twenty-seven million, one hundred eleven thousand, four hundred twenty-one".