127676965 has 24 divisors (see below), whose sum is σ = 168692328. Its totient is φ = 92701440.

The previous prime is 127676963. The next prime is 127677023. The reversal of 127676965 is 569676721.

It can be written as a sum of positive squares in 12 ways, for example, as 106874244 + 20802721 = 10338^2 + 4561^2 .

It is not a de Polignac number, because 127676965 - 2¹ = 127676963 is a prime.

It is a super-2 number, since 2×127676965² = 32602814783222450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127676963) 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 23 ways as a sum of consecutive naturals, for example, 50307 + ... + 52783.

It is an arithmetic number, because the mean of its divisors is an integer number (7028847).

Almost surely, 2^127676965 is an apocalyptic number.

It is an amenable number.

127676965 is a deficient number, since it is larger than the sum of its proper divisors (41015363).

127676965 is a wasteful number, since it uses less digits than its factorization.

127676965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2556 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 127676965 is about 11299.4232153681. The cubic root of 127676965 is about 503.5441059377.

The spelling of 127676965 in words is "one hundred twenty-seven million, six hundred seventy-six thousand, nine hundred sixty-five".