127117 has 4 divisors (see below), whose sum is σ = 127836. Its totient is φ = 126400.

The previous prime is 127103. The next prime is 127123. The reversal of 127117 is 711721.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 72361 + 54756 = 269^2 + 234^2 .

It is a cyclic number.

It is not a de Polignac number, because 127117 - 2⁷ = 126989 is a prime.

It is a Duffinian number.

127117 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 127094 and 127103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (31959).

2¹²⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

127117 is a deficient number, since it is larger than the sum of its proper divisors (719).

127117 is an equidigital number, since it uses as much as digits as its factorization.

127117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718.

The product of its digits is 98, while the sum is 19.

The square root of 127117 is about 356.5347107927. The cubic root of 127117 is about 50.2806880030.

Adding to 127117 its reverse (711721), we get a palindrome (838838).

The spelling of 127117 in words is "one hundred twenty-seven thousand, one hundred seventeen", and thus it is an iban number.