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7932 = 223661

7932 has 12 divisors (see below), whose sum is σ = 18536. Its totient is φ = 2640.

The previous prime is 7927. The next prime is 7933. The reversal of 7932 is 2397.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 7899 and 7908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7932.

It is not an unprimeable number, because it can be changed into a prime (7933) by changing a digit.

7932 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 3 ways as a sum of consecutive naturals, for example, 319 + ... + 342.

It is an amenable number.

7932 is an abundant number, since it is smaller than the sum of its proper divisors (10604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268).

7932 is a wasteful number, since it uses less digits than its factorization.

7932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 7932 is about 89.0617763128. The cubic root of 7932 is about 19.9431720153.

It can be divided in two parts, 79 and 32, that added together give a palindrome (111).

The spelling of 7932 in words is "seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 661 1322 1983 2644 3966 7932