133982 has 8 divisors (see below), whose sum is σ = 207552. Its totient is φ = 64800.

The previous prime is 133981. The next prime is 133993. The reversal of 133982 is 289331.

133982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1019 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (25944).

2¹³³⁹⁸² is an apocalyptic number.

133982 is a deficient number, since it is larger than the sum of its proper divisors (73570).

133982 is a wasteful number, since it uses less digits than its factorization.

133982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194.

The product of its digits is 1296, while the sum is 26.

The square root of 133982 is about 366.0355174023. The cubic root of 133982 is about 51.1700080695.

Subtracting from 133982 its sum of digits (26), we obtain a square (133956 = 366²).

It can be divided in two parts, 13398 and 2, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 133982 in words is "one hundred thirty-three thousand, nine hundred eighty-two".