73933 has 4 divisors (see below), whose sum is σ = 78300. Its totient is φ = 69568.

The previous prime is 73907. The next prime is 73939. The reversal of 73933 is 33937.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24649 + 49284 = 157^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 73933 - 2⁹ = 73421 is a prime.

It is a Duffinian number.

73933 is a lucky number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 73898 and 73907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73939) 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 3 ways as a sum of consecutive naturals, for example, 2158 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (19575).

2⁷³⁹³³ is an apocalyptic number.

It is an amenable number.

73933 is a deficient number, since it is larger than the sum of its proper divisors (4367).

73933 is a wasteful number, since it uses less digits than its factorization.

73933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366.

The product of its digits is 1701, while the sum is 25.

The square root of 73933 is about 271.9062338381. The cubic root of 73933 is about 41.9706900571.

It can be divided in two parts, 7393 and 3, that added together give a square (7396 = 86²).

The spelling of 73933 in words is "seventy-three thousand, nine hundred thirty-three".