821252916 has 72 divisors (see below), whose sum is σ = 2269167264. Its totient is φ = 248370240.

The previous prime is 821252909. The next prime is 821252921. The reversal of 821252916 is 619252128.

821252916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 230686 + ... + 234218.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^821252916 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 821252916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134583632).

821252916 is an abundant number, since it is smaller than the sum of its proper divisors (1447914348).

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

821252916 is a wasteful number, since it uses less digits than its factorization.

821252916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4136 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 821252916 is about 28657.5106385743. The cubic root of 821252916 is about 936.4666339701.

The spelling of 821252916 in words is "eight hundred twenty-one million, two hundred fifty-two thousand, nine hundred sixteen".