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9522 = 232232

9522 has 18 divisors (see below), whose sum is σ = 21567. Its totient is φ = 3036.

The previous prime is 9521. The next prime is 9533. The reversal of 9522 is 2259.

Added to its reverse (2259) it gives a triangular number (11781 = T153).

It can be written as a sum of positive squares in only one way, i.e., 4761 + 4761 = 69^2 + 69^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=69.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9495 and 9504.

It is not an unprimeable number, because it can be changed into a prime (9521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 403 + ... + 425.

29522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9522

9522 is an abundant number, since it is smaller than the sum of its proper divisors (12045).

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

9522 is a wasteful number, since it uses less digits than its factorization.

9522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 9522 is about 97.5807358037. The cubic root of 9522 is about 21.1954541101.

Multiplying 9522 by its sum of digits (18), we get a square (171396 = 4142).

9522 divided by its sum of digits (18) gives a square (529 = 232).

Adding to 9522 its reverse (2259), we get a triangular number (11781 = T153).

The spelling of 9522 in words is "nine thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9522