8006633 has 2 divisors, whose sum is σ = 8006634. Its totient is φ = 8006632.

The previous prime is 8006629. The next prime is 8006641. The reversal of 8006633 is 3366008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5326864 + 2679769 = 2308^2 + 1637^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006633 - 2² = 8006629 is a prime.

It is equal to p₅₄₀₁₉₇ and since 8006633 and 540197 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8006623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003316 + 4003317.

It is an arithmetic number, because the mean of its divisors is an integer number (4003317).

Almost surely, 2^8006633 is an apocalyptic number.

It is an amenable number.

8006633 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006633 is an equidigital number, since it uses as much as digits as its factorization.

8006633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 8006633 is about 2829.5994416171. The cubic root of 8006633 is about 200.0552597304.

The spelling of 8006633 in words is "eight million, six thousand, six hundred thirty-three".