9805952 has 64 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 4408320.

The previous prime is 9805927. The next prime is 9805963. The reversal of 9805952 is 2595089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118103 + ... + 118185.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^9805952 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 9805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

9805952 is an abundant number, since it is smaller than the sum of its proper divisors (11785408).

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

9805952 is a wasteful number, since it uses less digits than its factorization.

9805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 9805952 is about 3131.4456725289. The cubic root of 9805952 is about 214.0408109199.

It can be divided in two parts, 980595 and 2, that multiplied together give a triangular number (1961190 = T₁₉₈₀).

The spelling of 9805952 in words is "nine million, eight hundred five thousand, nine hundred fifty-two".