83933 has 2 divisors, whose sum is σ = 83934. Its totient is φ = 83932.

The previous prime is 83921. The next prime is 83939. The reversal of 83933 is 33938.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 3844 = 283^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 83933 - 2⁶ = 83869 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41966 + 41967.

It is an arithmetic number, because the mean of its divisors is an integer number (41967).

2⁸³⁹³³ is an apocalyptic number.

It is an amenable number.

83933 is a deficient number, since it is larger than the sum of its proper divisors (1).

83933 is an equidigital number, since it uses as much as digits as its factorization.

83933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

The square root of 83933 is about 289.7119258850. The cubic root of 83933 is about 43.7835443421.

The spelling of 83933 in words is "eighty-three thousand, nine hundred thirty-three".