132984 has 24 divisors (see below), whose sum is σ = 360360. Its totient is φ = 44304.

The previous prime is 132971. The next prime is 132989. The reversal of 132984 is 489231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132989) by changing a digit.

132984 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 5 ways as a sum of consecutive naturals, for example, 852 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2¹³²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

132984 is an abundant number, since it is smaller than the sum of its proper divisors (227376).

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

132984 is a wasteful number, since it uses less digits than its factorization.

132984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132984 is about 364.6697135765. The cubic root of 132984 is about 51.0426402332.

The spelling of 132984 in words is "one hundred thirty-two thousand, nine hundred eighty-four".