71933 has 2 divisors, whose sum is σ = 71934. Its totient is φ = 71932.

The previous prime is 71917. The next prime is 71941. The reversal of 71933 is 33917.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 33124 = 197^2 + 182^2 .

71933 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 71933 - 2⁴ = 71917 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 71899 and 71908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35966 + 35967.

It is an arithmetic number, because the mean of its divisors is an integer number (35967).

2⁷¹⁹³³ is an apocalyptic number.

It is an amenable number.

71933 is a deficient number, since it is larger than the sum of its proper divisors (1).

71933 is an equidigital number, since it uses as much as digits as its factorization.

71933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 567, while the sum is 23.

The square root of 71933 is about 268.2032811134. The cubic root of 71933 is about 41.5887682326.

It can be divided in two parts, 7 and 1933, that multiplied together give a palindrome (13531).

The spelling of 71933 in words is "seventy-one thousand, nine hundred thirty-three".