821363128 has 16 divisors (see below), whose sum is σ = 1541084760. Its totient is φ = 410407200.

The previous prime is 821363119. The next prime is 821363171.

It is a happy number.

821363128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 821363093 and 821363102.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 21283 + ... + 45778.

Almost surely, 2^821363128 is an apocalyptic number.

It is an amenable number.

821363128 is a deficient number, since it is larger than the sum of its proper divisors (719721632).

821363128 is a wasteful number, since it uses less digits than its factorization.

821363128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68598 (or 68594 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 821363128 is about 28659.4334905629. The cubic root of 821363128 is about 936.5085233167.

It can be divided in two parts, 82136 and 3128, that added together give a square (85264 = 292²).

The spelling of 821363128 in words is "eight hundred twenty-one million, three hundred sixty-three thousand, one hundred twenty-eight".