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1332 = 223237
BaseRepresentation
bin10100110100
31211100
4110310
520312
610100
73612
oct2464
91740
101332
111001
12930
137b6
146b2
155dc
hex534

1332 has 18 divisors (see below), whose sum is σ = 3458. Its totient is φ = 432.

The previous prime is 1327. The next prime is 1361. The reversal of 1332 is 2331.

Adding to 1332 its reverse (2331), we get a palindrome (3663).

Subtracting 1332 from its reverse (2331), we obtain a palindrome (999).

It can be divided in two parts, 13 and 32, that added together give a triangular number (45 = T9).

It is a happy number.

1332 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 113+1.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 36 = 36^2 + 6^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

1332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 18 + ... + 54.

1332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 36×37.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729).

1332 is an abundant number, since it is smaller than the sum of its proper divisors (2126).

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

1332 is a wasteful number, since it uses less digits than its factorization.

1332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 1332 is about 36.4965751818. The cubic root of 1332 is about 11.0027541313.

The spelling of 1332 in words is "one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332