9821952 has 216 divisors, whose sum is σ = 34952400. Its totient is φ = 2709504.

The previous prime is 9821939. The next prime is 9821957. The reversal of 9821952 is 2591289.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821957) 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 23 ways as a sum of consecutive naturals, for example, 338674 + ... + 338702.

Almost surely, 2^9821952 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 9821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476200).

9821952 is an abundant number, since it is smaller than the sum of its proper divisors (25130448).

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

9821952 is a wasteful number, since it uses less digits than its factorization.

9821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9821952 is about 3133.9993618378. Note that the first 3 decimals coincide. The cubic root of 9821952 is about 214.1571617524.

The spelling of 9821952 in words is "nine million, eight hundred twenty-one thousand, nine hundred fifty-two".