9209952 has 72 divisors (see below), whose sum is σ = 26515944. Its totient is φ = 3032064.

The previous prime is 9209917. The next prime is 9209957. The reversal of 9209952 is 2599029.

9209952 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (72).

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 (9209957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32403 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (368277).

Almost surely, 2^9209952 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 9209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257972).

9209952 is an abundant number, since it is smaller than the sum of its proper divisors (17305992).

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

9209952 is a wasteful number, since it uses less digits than its factorization.

9209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9209952 is about 3034.7902728195. The cubic root of 9209952 is about 209.6134385261.

It can be divided in two parts, 9 and 209952, that multiplied together give a 5-th power (1889568 = 18⁵).

The spelling of 9209952 in words is "nine million, two hundred nine thousand, nine hundred fifty-two".