73133 has 2 divisors, whose sum is σ = 73134. Its totient is φ = 73132.

The previous prime is 73127. The next prime is 73141. The reversal of 73133 is 33137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 4489 = 262^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 73133 - 2¹⁰ = 72109 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36566 + 36567.

It is an arithmetic number, because the mean of its divisors is an integer number (36567).

2⁷³¹³³ is an apocalyptic number.

It is an amenable number.

73133 is a deficient number, since it is larger than the sum of its proper divisors (1).

73133 is an equidigital number, since it uses as much as digits as its factorization.

73133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 189, while the sum is 17.

The square root of 73133 is about 270.4311372605. The cubic root of 73133 is about 41.8187579402.

The spelling of 73133 in words is "seventy-three thousand, one hundred thirty-three".