73305233 has 2 divisors, whose sum is σ = 73305234. Its totient is φ = 73305232.

The previous prime is 73305191. The next prime is 73305257. The reversal of 73305233 is 33250337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70090384 + 3214849 = 8372^2 + 1793^2 .

It is a cyclic number.

It is not a de Polignac number, because 73305233 - 2¹⁶ = 73239697 is a prime.

It is equal to p_4300874 and since 73305233 and 4300874 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (73305263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36652616 + 36652617.

It is an arithmetic number, because the mean of its divisors is an integer number (36652617).

Almost surely, 2^73305233 is an apocalyptic number.

73305233 is the 4577-th centered heptagonal number.

It is an amenable number.

73305233 is a deficient number, since it is larger than the sum of its proper divisors (1).

73305233 is an equidigital number, since it uses as much as digits as its factorization.

73305233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 26.

The square root of 73305233 is about 8561.8475225853. The cubic root of 73305233 is about 418.5156083967.

The spelling of 73305233 in words is "seventy-three million, three hundred five thousand, two hundred thirty-three".