233993033 has 2 divisors, whose sum is σ = 233993034. Its totient is φ = 233993032.

The previous prime is 233993021. The next prime is 233993047. The reversal of 233993033 is 330399332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181387024 + 52606009 = 13468^2 + 7253^2 .

It is a cyclic number.

It is not a de Polignac number, because 233993033 - 2¹⁰ = 233992009 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233992984 and 233993002.

It is not a weakly prime, because it can be changed into another prime (233993833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116996516 + 116996517.

It is an arithmetic number, because the mean of its divisors is an integer number (116996517).

Almost surely, 2^233993033 is an apocalyptic number.

233993033 is the 8177-th centered heptagonal number.

It is an amenable number.

233993033 is a deficient number, since it is larger than the sum of its proper divisors (1).

233993033 is an equidigital number, since it uses as much as digits as its factorization.

233993033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39366, while the sum is 35.

The square root of 233993033 is about 15296.8308155644. The cubic root of 233993033 is about 616.2178989981.

The spelling of 233993033 in words is "two hundred thirty-three million, nine hundred ninety-three thousand, thirty-three".