74333 has 12 divisors (see below), whose sum is σ = 90972. Its totient is φ = 60480.

The previous prime is 74323. The next prime is 74353. The reversal of 74333 is 33347.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 41209 = 182^2 + 203^2 .

It is not a de Polignac number, because 74333 - 2⁴ = 74317 is a prime.

74333 is a modest number, since divided by 333 gives 74 as remainder.

It is a Curzon number.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1793 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2⁷⁴³³³ is an apocalyptic number.

It is an amenable number.

74333 is a deficient number, since it is larger than the sum of its proper divisors (16639).

74333 is a wasteful number, since it uses less digits than its factorization.

74333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 756, while the sum is 20.

The square root of 74333 is about 272.6407893181. The cubic root of 74333 is about 42.0462453578.

It can be divided in two parts, 74 and 333, that multiplied together give a palindrome (24642).

The spelling of 74333 in words is "seventy-four thousand, three hundred thirty-three".