73338033 has 16 divisors (see below), whose sum is σ = 103671296. Its totient is φ = 46033920.

The previous prime is 73338029. The next prime is 73338037. The reversal of 73338033 is 33083337.

It is an interprime number because it is at equal distance from previous prime (73338029) and next prime (73338037).

It is not a de Polignac number, because 73338033 - 2² = 73338029 is a prime.

It is a super-3 number, since 3×73338033³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73338037) 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 in 15 ways as a sum of consecutive naturals, for example, 7216 + ... + 14097.

It is an arithmetic number, because the mean of its divisors is an integer number (6479456).

Almost surely, 2^73338033 is an apocalyptic number.

It is an amenable number.

73338033 is a deficient number, since it is larger than the sum of its proper divisors (30333263).

73338033 is a wasteful number, since it uses less digits than its factorization.

73338033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384.

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 73338033 is about 8563.7627827959. The cubic root of 73338033 is about 418.5780198804.

The spelling of 73338033 in words is "seventy-three million, three hundred thirty-eight thousand, thirty-three".