73933133 has 2 divisors, whose sum is σ = 73933134. Its totient is φ = 73933132.

The previous prime is 73933121. The next prime is 73933147. The reversal of 73933133 is 33133937.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63712324 + 10220809 = 7982^2 + 3197^2 .

It is a cyclic number.

It is not a de Polignac number, because 73933133 - 2¹⁰ = 73932109 is a prime.

It is a super-2 number, since 2×73933133² = 10932216310391378, which contains 22 as substring.

It is equal to p_4335593 and since 73933133 and 4335593 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73933133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73933103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36966566 + 36966567.

It is an arithmetic number, because the mean of its divisors is an integer number (36966567).

Almost surely, 2^73933133 is an apocalyptic number.

It is an amenable number.

73933133 is a deficient number, since it is larger than the sum of its proper divisors (1).

73933133 is an equidigital number, since it uses as much as digits as its factorization.

73933133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15309, while the sum is 32.

The square root of 73933133 is about 8598.4378232328. The cubic root of 73933133 is about 419.7071522444.

The spelling of 73933133 in words is "seventy-three million, nine hundred thirty-three thousand, one hundred thirty-three".