83133 has 8 divisors (see below), whose sum is σ = 123200. Its totient is φ = 55404.

The previous prime is 83117. The next prime is 83137. The reversal of 83133 is 33138.

It is not a de Polignac number, because 83133 - 2⁴ = 83117 is a prime.

It is a super-2 number, since 2×83133² = 13822191378, which contains 22 as substring.

It is a Duffinian number.

83133 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83137) 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, 1513 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2⁸³¹³³ is an apocalyptic number.

It is an amenable number.

83133 is a deficient number, since it is larger than the sum of its proper divisors (40067).

83133 is a wasteful number, since it uses less digits than its factorization.

83133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 83133 is about 288.3279382925. The cubic root of 83133 is about 43.6439936942.

It can be divided in two parts, 83 and 133, that added together give a cube (216 = 6³).

The spelling of 83133 in words is "eighty-three thousand, one hundred thirty-three".