233609 has 2 divisors, whose sum is σ = 233610. Its totient is φ = 233608.

The previous prime is 233599. The next prime is 233617. The reversal of 233609 is 906332.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 107584 = 355^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 233609 - 2⁸ = 233353 is a prime.

It is not a weakly prime, because it can be changed into another prime (233669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116804 + 116805.

It is an arithmetic number, because the mean of its divisors is an integer number (116805).

2²³³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

233609 is a deficient number, since it is larger than the sum of its proper divisors (1).

233609 is an equidigital number, since it uses as much as digits as its factorization.

233609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 233609 is about 483.3311494204. The cubic root of 233609 is about 61.5880598941.

Subtracting from 233609 its sum of digits (23), we obtain a triangular number (233586 = T₆₈₃).

The spelling of 233609 in words is "two hundred thirty-three thousand, six hundred nine".