233820313 has 2 divisors, whose sum is σ = 233820314. Its totient is φ = 233820312.

The previous prime is 233820311. The next prime is 233820317. The reversal of 233820313 is 313028332.

233820313 = 10812² + 10813².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116920969 + 116899344 = 10813^2 + 10812^2 .

It is a cyclic number.

It is not a de Polignac number, because 233820313 - 2¹ = 233820311 is a prime.

Together with 233820311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (233820311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116910156 + 116910157.

It is an arithmetic number, because the mean of its divisors is an integer number (116910157).

Almost surely, 2^233820313 is an apocalyptic number.

233820313 is the 10813-rd centered square number.

It is an amenable number.

233820313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233820313 is an equidigital number, since it uses as much as digits as its factorization.

233820313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 233820313 is about 15291.1841595084. The cubic root of 233820313 is about 616.0662429816.

Adding to 233820313 its reverse (313028332), we get a palindrome (546848645).

The spelling of 233820313 in words is "two hundred thirty-three million, eight hundred twenty thousand, three hundred thirteen".