74133 has 6 divisors (see below), whose sum is σ = 107094. Its totient is φ = 49416.

The previous prime is 74131. The next prime is 74143. The reversal of 74133 is 33147.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 7569 = 258^2 + 87^2 .

It is not a de Polignac number, because 74133 - 2¹ = 74131 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 74133.

It is not an unprimeable number, because it can be changed into a prime (74131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4110 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (17849).

2⁷⁴¹³³ is an apocalyptic number.

It is an amenable number.

74133 is a deficient number, since it is larger than the sum of its proper divisors (32961).

74133 is a wasteful number, since it uses less digits than its factorization.

74133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8240 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 74133 is about 272.2737592938. The cubic root of 74133 is about 42.0085016803.

The spelling of 74133 in words is "seventy-four thousand, one hundred thirty-three".