96132 has 12 divisors (see below), whose sum is σ = 224336. Its totient is φ = 32040.

The previous prime is 96097. The next prime is 96137. The reversal of 96132 is 23169.

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

It is a super-2 number, since 2×96132² = 18482722848, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 96099 and 96108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96132.

It is not an unprimeable number, because it can be changed into a prime (96137) by changing a digit.

96132 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, 3994 + ... + 4017.

2⁹⁶¹³² is an apocalyptic number.

It is an amenable number.

96132 is an abundant number, since it is smaller than the sum of its proper divisors (128204).

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 (112168).

96132 is a wasteful number, since it uses less digits than its factorization.

96132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8016 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 96132 is about 310.0516086073. The cubic root of 96132 is about 45.8095465185.

The spelling of 96132 in words is "ninety-six thousand, one hundred thirty-two".