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23329 = 41569
BaseRepresentation
bin101101100100001
31012000001
411230201
51221304
6300001
7125005
oct55441
935001
1023329
1116589
1211601
13a807
148705
156da4
hex5b21

23329 has 4 divisors (see below), whose sum is σ = 23940. Its totient is φ = 22720.

The previous prime is 23327. The next prime is 23333. The reversal of 23329 is 92332.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 21025 = 48^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 23329 - 21 = 23327 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321) 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 3 ways as a sum of consecutive naturals, for example, 244 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

223329 is an apocalyptic number.

23329 is the 82-nd nonagonal number.

It is an amenable number.

23329 is a deficient number, since it is larger than the sum of its proper divisors (611).

23329 is an equidigital number, since it uses as much as digits as its factorization.

23329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its digits is 324, while the sum is 19.

The square root of 23329 is about 152.7383383437. The cubic root of 23329 is about 28.5736272118.

Adding to 23329 its product of digits (324), we get a triangular number (23653 = T217).

Subtracting from 23329 its product of digits (324), we obtain a triangular number (23005 = T214).

It can be divided in two parts, 233 and 29, that added together give a palindrome (262).

The spelling of 23329 in words is "twenty-three thousand, three hundred twenty-nine".

Divisors: 1 41 569 23329