233009993 has 2 divisors, whose sum is σ = 233009994. Its totient is φ = 233009992.

The previous prime is 233009971. The next prime is 233010013. The reversal of 233009993 is 399900332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227496889 + 5513104 = 15083^2 + 2348^2 .

It is a cyclic number.

It is not a de Polignac number, because 233009993 - 2²⁴ = 216232777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (233009963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116504996 + 116504997.

It is an arithmetic number, because the mean of its divisors is an integer number (116504997).

Almost surely, 2^233009993 is an apocalyptic number.

It is an amenable number.

233009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233009993 is an equidigital number, since it uses as much as digits as its factorization.

233009993 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 38.

The square root of 233009993 is about 15264.6648505626. The cubic root of 233009993 is about 615.3537462965.

The spelling of 233009993 in words is "two hundred thirty-three million, nine thousand, nine hundred ninety-three".