83117933 has 2 divisors, whose sum is σ = 83117934. Its totient is φ = 83117932.

The previous prime is 83117917. The next prime is 83117963. The reversal of 83117933 is 33971138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82482724 + 635209 = 9082^2 + 797^2 .

It is a cyclic number.

It is not a de Polignac number, because 83117933 - 2⁴ = 83117917 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83117893 and 83117902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83117963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41558966 + 41558967.

It is an arithmetic number, because the mean of its divisors is an integer number (41558967).

Almost surely, 2^83117933 is an apocalyptic number.

It is an amenable number.

83117933 is a deficient number, since it is larger than the sum of its proper divisors (1).

83117933 is an equidigital number, since it uses as much as digits as its factorization.

83117933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 83117933 is about 9116.9036958827. The cubic root of 83117933 is about 436.4135686009.

The spelling of 83117933 in words is "eighty-three million, one hundred seventeen thousand, nine hundred thirty-three".