7933 has 2 divisors, whose sum is σ = 7934. Its totient is φ = 7932.

The previous prime is 7927. The next prime is 7937. The reversal of 7933 is 3397.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 1849 = 78^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 7933 - 2⁵ = 7901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3966 + 3967.

It is an arithmetic number, because the mean of its divisors is an integer number (3967).

2⁷⁹³³ is an apocalyptic number.

It is an amenable number.

7933 is a deficient number, since it is larger than the sum of its proper divisors (1).

7933 is an equidigital number, since it uses as much as digits as its factorization.

7933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 22.

The square root of 7933 is about 89.0673902166. The cubic root of 7933 is about 19.9440100693.

The spelling of 7933 in words is "seven thousand, nine hundred thirty-three".