233013829 has 2 divisors, whose sum is σ = 233013830. Its totient is φ = 233013828.

The previous prime is 233013821. The next prime is 233013857. The reversal of 233013829 is 928310332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193349025 + 39664804 = 13905^2 + 6298^2 .

It is a cyclic number.

It is not a de Polignac number, because 233013829 - 2³ = 233013821 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233013829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233013821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116506914 + 116506915.

It is an arithmetic number, because the mean of its divisors is an integer number (116506915).

Almost surely, 2^233013829 is an apocalyptic number.

It is an amenable number.

233013829 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013829 is an equidigital number, since it uses as much as digits as its factorization.

233013829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 233013829 is about 15264.7904997088. The cubic root of 233013829 is about 615.3571230959.

The spelling of 233013829 in words is "two hundred thirty-three million, thirteen thousand, eight hundred twenty-nine".