821068419 has 16 divisors (see below), whose sum is σ = 1122960384. Its totient is φ = 533313600.

The previous prime is 821068411. The next prime is 821068429. The reversal of 821068419 is 914860128.

It is not a de Polignac number, because 821068419 - 2³ = 821068411 is a prime.

It is a super-2 number, since 2×821068419² = 1348306697358319122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (821068411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97174 + ... + 105284.

It is an arithmetic number, because the mean of its divisors is an integer number (70185024).

Almost surely, 2^821068419 is an apocalyptic number.

821068419 is a deficient number, since it is larger than the sum of its proper divisors (301891965).

821068419 is a wasteful number, since it uses less digits than its factorization.

821068419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978.

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 821068419 is about 28654.2914586978. The cubic root of 821068419 is about 936.3965020124.

It can be divided in two parts, 82106 and 8419, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 821068419 in words is "eight hundred twenty-one million, sixty-eight thousand, four hundred nineteen".