730033 has 2 divisors, whose sum is σ = 730034. Its totient is φ = 730032.

The previous prime is 730021. The next prime is 730049. The reversal of 730033 is 330037.

730033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (730049) can be obtained adding 730033 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 471969 + 258064 = 687^2 + 508^2 .

It is an emirp because it is prime and its reverse (330037) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-730033 is a prime.

730033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 729989 and 730016.

It is not a weakly prime, because it can be changed into another prime (730003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 365016 + 365017.

It is an arithmetic number, because the mean of its divisors is an integer number (365017).

2⁷³⁰⁰³³ is an apocalyptic number.

It is an amenable number.

730033 is a deficient number, since it is larger than the sum of its proper divisors (1).

730033 is an equidigital number, since it uses as much as digits as its factorization.

730033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 16.

The square root of 730033 is about 854.4196861028. The cubic root of 730033 is about 90.0424902247.

The spelling of 730033 in words is "seven hundred thirty thousand, thirty-three".