127993 has 4 divisors (see below), whose sum is σ = 135540. Its totient is φ = 120448.

The previous prime is 127979. The next prime is 127997. The reversal of 127993 is 399721.

127993 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 56169 = 268^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 127993 - 2⁹ = 127481 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3748 + ... + 3781.

It is an arithmetic number, because the mean of its divisors is an integer number (33885).

2¹²⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

127993 is a deficient number, since it is larger than the sum of its proper divisors (7547).

127993 is an equidigital number, since it uses as much as digits as its factorization.

127993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546.

The product of its digits is 3402, while the sum is 31.

The square root of 127993 is about 357.7610934688. The cubic root of 127993 is about 50.3959232866.

The spelling of 127993 in words is "one hundred twenty-seven thousand, nine hundred ninety-three".