821409741 has 96 divisors (see below), whose sum is σ = 1358622720. Its totient is φ = 494455104.

The previous prime is 821409739. The next prime is 821409761. The reversal of 821409741 is 147904128.

It is not a de Polignac number, because 821409741 - 2¹ = 821409739 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 821409696 and 821409705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821409761) 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 95 ways as a sum of consecutive naturals, for example, 13922170 + ... + 13922228.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^821409741 is an apocalyptic number.

821409741 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

821409741 is a deficient number, since it is larger than the sum of its proper divisors (537212979).

821409741 is a wasteful number, since it uses less digits than its factorization.

821409741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 821409741 is about 28660.2467016598. The cubic root of 821409741 is about 936.5262388453.

The spelling of 821409741 in words is "eight hundred twenty-one million, four hundred nine thousand, seven hundred forty-one".