821284352 has 40 divisors (see below), whose sum is σ = 1875396336. Its totient is φ = 351977472.

The previous prime is 821284249. The next prime is 821284357. The reversal of 821284352 is 253482128.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821284357) 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 in 3 ways as a sum of consecutive naturals, for example, 110993 + ... + 118160.

Almost surely, 2^821284352 is an apocalyptic number.

It is an amenable number.

821284352 is an abundant number, since it is smaller than the sum of its proper divisors (1054111984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821284352 is an equidigital number, since it uses as much as digits as its factorization.

821284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229178 (or 229162 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 821284352 is about 28658.0591108330. The cubic root of 821284352 is about 936.4785825384.

The spelling of 821284352 in words is "eight hundred twenty-one million, two hundred eighty-four thousand, three hundred fifty-two".