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1329 = 3443
BaseRepresentation
bin10100110001
31211020
4110301
520304
610053
73606
oct2461
91736
101329
11aa9
12929
137b3
155d9
hex531

1329 has 4 divisors (see below), whose sum is σ = 1776. Its totient is φ = 884.

The previous prime is 1327. The next prime is 1361. The reversal of 1329 is 9231.

1329 = T2 + T3 + ... + T19.

1329 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1329 - 21 = 1327 is a prime.

It is a D-number.

1329 is an undulating number in base 12.

It is a Curzon number.

1329 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (444).

It is an amenable number.

1329 is a deficient number, since it is larger than the sum of its proper divisors (447).

1329 is an equidigital number, since it uses as much as digits as its factorization.

1329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its digits is 54, while the sum is 15.

The square root of 1329 is about 36.4554522671. The cubic root of 1329 is about 10.9944875962.

Subtracting from 1329 its product of digits (54), we obtain a triangular number (1275 = T50).

It can be divided in two parts, 132 and 9, that added together give a palindrome (141).

The spelling of 1329 in words is "one thousand, three hundred twenty-nine".

Divisors: 1 3 443 1329