9533952 has 60 divisors (see below), whose sum is σ = 27528930. Its totient is φ = 3176448.

The previous prime is 9533933. The next prime is 9533959. The reversal of 9533952 is 2593359.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 389376 = 3024^2 + 624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9533959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3574 + ... + 5642.

Almost surely, 2^9533952 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 9533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764465).

9533952 is an abundant number, since it is smaller than the sum of its proper divisors (17994978).

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

9533952 is a wasteful number, since it uses less digits than its factorization.

9533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2074 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 9533952 is about 3087.7098309265. The cubic root of 9533952 is about 212.0431856961.

The spelling of 9533952 in words is "nine million, five hundred thirty-three thousand, nine hundred fifty-two".