83125033 has 2 divisors, whose sum is σ = 83125034. Its totient is φ = 83125032.

The previous prime is 83125001. The next prime is 83125037. The reversal of 83125033 is 33052138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61669609 + 21455424 = 7853^2 + 4632^2 .

It is a cyclic number.

It is not a de Polignac number, because 83125033 - 2⁵ = 83125001 is a prime.

It is a super-3 number, since 3×83125033³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 83124989 and 83125007.

It is not a weakly prime, because it can be changed into another prime (83125037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41562516 + 41562517.

It is an arithmetic number, because the mean of its divisors is an integer number (41562517).

Almost surely, 2^83125033 is an apocalyptic number.

It is an amenable number.

83125033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83125033 is an equidigital number, since it uses as much as digits as its factorization.

83125033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 83125033 is about 9117.2930741531. The cubic root of 83125033 is about 436.4259945119.

The spelling of 83125033 in words is "eighty-three million, one hundred twenty-five thousand, thirty-three".