10093 has 2 divisors, whose sum is σ = 10094. Its totient is φ = 10092.

The previous prime is 10091. The next prime is 10099. The reversal of 10093 is 39001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 1444 = 93^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093 - 2¹ = 10091 is a prime.

Together with 10091, it forms a pair of twin primes.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5046 + 5047.

It is an arithmetic number, because the mean of its divisors is an integer number (5047).

2¹⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

10093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093 is an equidigital number, since it uses as much as digits as its factorization.

10093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 10093 is about 100.4639238732. The cubic root of 10093 is about 21.6109283977.

Adding to 10093 its reverse (39001), we get a palindrome (49094).

The spelling of 10093 in words is "ten thousand, ninety-three".