133084 has 24 divisors (see below), whose sum is σ = 274400. Its totient is φ = 56448.

The previous prime is 133073. The next prime is 133087. The reversal of 133084 is 480331.

133084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133084² = 35422702112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 1420.

2¹³³⁰⁸⁴ is an apocalyptic number.

133084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137200).

133084 is an abundant number, since it is smaller than the sum of its proper divisors (141316).

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

133084 is an equidigital number, since it uses as much as digits as its factorization.

133084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 133084 is about 364.8067981823. The cubic root of 133084 is about 51.0554312084.

The spelling of 133084 in words is "one hundred thirty-three thousand, eighty-four".