84133 has 12 divisors (see below), whose sum is σ = 104652. Its totient is φ = 67200.

The previous prime is 84131. The next prime is 84137. The reversal of 84133 is 33148.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 9604 = 273^2 + 98^2 .

It is not a de Polignac number, because 84133 - 2¹ = 84131 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 84133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (8721).

2⁸⁴¹³³ is an apocalyptic number.

It is an amenable number.

84133 is a deficient number, since it is larger than the sum of its proper divisors (20519).

84133 is a wasteful number, since it uses less digits than its factorization.

84133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

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

The square root of 84133 is about 290.0568909714. The cubic root of 84133 is about 43.8182933393.

Subtracting from 84133 its product of digits (288), we obtain a triangular number (83845 = T₄₀₉).

The spelling of 84133 in words is "eighty-four thousand, one hundred thirty-three".