Search a number

9472 has 18 divisors (see below), whose sum is σ = 19418. Its totient is φ = 4608.

The previous prime is 9467. The next prime is 9473. The reversal of 9472 is 2749.

Adding to 9472 its reverse (2749), we get a palindrome (12221).

It can be divided in two parts, 947 and 2, that added together give a palindrome (949).

It can be written as a sum of positive squares in only one way, i.e., 9216 + 256 = 96^2 + 16^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238 + ... + 274.

29472 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 9472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709).

9472 is an abundant number, since it is smaller than the sum of its proper divisors (9946).

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

9472 is an equidigital number, since it uses as much as digits as its factorization.

9472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 9472 is about 97.3242004848. The cubic root of 9472 is about 21.1582898908.

The spelling of 9472 in words is "nine thousand, four hundred seventy-two".