8084033 has 2 divisors, whose sum is σ = 8084034. Its totient is φ = 8084032.

The previous prime is 8084023. The next prime is 8084099. The reversal of 8084033 is 3304808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5721664 + 2362369 = 2392^2 + 1537^2 .

It is a cyclic number.

It is not a de Polignac number, because 8084033 - 2¹⁶ = 8018497 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₅₄₅₀₃₉ and since 8084033 and 545039 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 8083993 and 8084011.

It is not a weakly prime, because it can be changed into another prime (8084023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042016 + 4042017.

It is an arithmetic number, because the mean of its divisors is an integer number (4042017).

Almost surely, 2^8084033 is an apocalyptic number.

It is an amenable number.

8084033 is a deficient number, since it is larger than the sum of its proper divisors (1).

8084033 is an equidigital number, since it uses as much as digits as its factorization.

8084033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8084033 is about 2843.2433944353. The cubic root of 8084033 is about 200.6978372837.

The spelling of 8084033 in words is "eight million, eighty-four thousand, thirty-three".