83332033 has 2 divisors, whose sum is σ = 83332034. Its totient is φ = 83332032.

The previous prime is 83332027. The next prime is 83332037. The reversal of 83332033 is 33023338.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75220929 + 8111104 = 8673^2 + 2848^2 .

It is a cyclic number.

It is not a de Polignac number, because 83332033 - 2¹³ = 83323841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83331989 and 83332007.

It is not a weakly prime, because it can be changed into another prime (83332037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41666016 + 41666017.

It is an arithmetic number, because the mean of its divisors is an integer number (41666017).

Almost surely, 2^83332033 is an apocalyptic number.

It is an amenable number.

83332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83332033 is an equidigital number, since it uses as much as digits as its factorization.

83332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 83332033 is about 9128.6380692850. The cubic root of 83332033 is about 436.7879604647.

The spelling of 83332033 in words is "eighty-three million, three hundred thirty-two thousand, thirty-three".