71833 has 4 divisors (see below), whose sum is σ = 74340. Its totient is φ = 69328.

The previous prime is 71821. The next prime is 71837. The reversal of 71833 is 33817.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33817 = 7 ⋅4831.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 34969 = 192^2 + 187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71833 is a prime.

It is a Duffinian number.

71833 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (71837) 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, 1210 + ... + 1267.

It is an arithmetic number, because the mean of its divisors is an integer number (18585).

2⁷¹⁸³³ is an apocalyptic number.

It is an amenable number.

71833 is a deficient number, since it is larger than the sum of its proper divisors (2507).

71833 is a wasteful number, since it uses less digits than its factorization.

71833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506.

The product of its digits is 504, while the sum is 22.

The square root of 71833 is about 268.0167905188. The cubic root of 71833 is about 41.5694873021.

The spelling of 71833 in words is "seventy-one thousand, eight hundred thirty-three".