127969 has 4 divisors (see below), whose sum is σ = 129796. Its totient is φ = 126144.

The previous prime is 127951. The next prime is 127973. The reversal of 127969 is 969721.

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 30625 + 97344 = 175^2 + 312^2 .

It is not a de Polignac number, because 127969 - 2¹¹ = 125921 is a prime.

It is a super-2 number, since 2×127969² = 32752129922, which contains 22 as substring.

It is a Duffinian number.

127969 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (127979) 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 in 3 ways as a sum of consecutive naturals, for example, 804 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (32449).

2¹²⁷⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

127969 is a deficient number, since it is larger than the sum of its proper divisors (1827).

127969 is an equidigital number, since it uses as much as digits as its factorization.

127969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826.

The product of its digits is 6804, while the sum is 34.

The square root of 127969 is about 357.7275499595. The cubic root of 127969 is about 50.3927731722.

The spelling of 127969 in words is "one hundred twenty-seven thousand, nine hundred sixty-nine".