7393 has 2 divisors, whose sum is σ = 7394. Its totient is φ = 7392.

The previous prime is 7369. The next prime is 7411. The reversal of 7393 is 3937.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 2209 = 72^2 + 47^2 .

7393 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-7393 is a prime.

It is a plaindrome in base 9, base 13 and base 15.

It is not a weakly prime, because it can be changed into another prime (7333) 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 as a sum of consecutive naturals, namely, 3696 + 3697.

It is an arithmetic number, because the mean of its divisors is an integer number (3697).

2^{7393} is an apocalyptic number.

It is an amenable number.

7393 is a deficient number, since it is larger than the sum of its proper divisors (1).

7393 is an equidigital number, since it uses as much as digits as its factorization.

7393 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 7393 is about 85.9825563705. The cubic root of 7393 is about 19.4808051310.

It can be divided in two parts, 7 and 393, that added together give a square (400 = 20^{2}).

The spelling of 7393 in words is "seven thousand, three hundred ninety-three".

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