83083 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 59040.

The previous prime is 83077. The next prime is 83089. The reversal of 83083 is 38038.

It is an interprime number because it is at equal distance from previous prime (83077) and next prime (83089).

It is a cyclic number.

It is not a de Polignac number, because 83083 - 2⁹ = 82571 is a prime.

83083 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83089) 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 15 ways as a sum of consecutive naturals, for example, 960 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸³⁰⁸³ is an apocalyptic number.

83083 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

83083 is a deficient number, since it is larger than the sum of its proper divisors (29813).

83083 is a wasteful number, since it uses less digits than its factorization.

83083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 83083 is about 288.2412184265. The cubic root of 83083 is about 43.6352421061.

Adding to 83083 its reverse (38038), we get a palindrome (121121).

The spelling of 83083 in words is "eighty-three thousand, eighty-three".