821965248 has 168 divisors, whose sum is σ = 2619833216. Its totient is φ = 244684800.

The previous prime is 821965223. The next prime is 821965259. The reversal of 821965248 is 842569128.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230358 + ... + 233898.

Almost surely, 2^821965248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309916608).

821965248 is an abundant number, since it is smaller than the sum of its proper divisors (1797867968).

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

821965248 is a wasteful number, since it uses less digits than its factorization.

821965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3590 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 821965248 is about 28669.9363096607. The cubic root of 821965248 is about 936.7373107871.

The spelling of 821965248 in words is "eight hundred twenty-one million, nine hundred sixty-five thousand, two hundred forty-eight".