Search a number
3132 = 223329

3132 has 24 divisors (see below), whose sum is σ = 8400. Its totient is φ = 1008.

The previous prime is 3121. The next prime is 3137. The reversal of 3132 is 2313.

It is a happy number.

3132 is nontrivially palindromic in base 16.

3132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

3132 is an undulating number in base 16.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137) by changing a digit.

3132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (350).

23132 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 3132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200).

3132 is an abundant number, since it is smaller than the sum of its proper divisors (5268).

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

3132 is a wasteful number, since it uses less digits than its factorization.

3132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 34 counting only the distinct ones).

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

The square root of 3132 is about 55.9642743185. The cubic root of 3132 is about 14.6309968832.

Adding to 3132 its reverse (2313), we get a palindrome (5445).

It can be divided in two parts, 313 and 2, that multiplied together give a palindrome (626).

The spelling of 3132 in words is "three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132