127829969 has 2 divisors, whose sum is σ = 127829970. Its totient is φ = 127829968.

The previous prime is 127829939. The next prime is 127829971. The reversal of 127829969 is 969928721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106853569 + 20976400 = 10337^2 + 4580^2 .

It is a cyclic number.

It is not a de Polignac number, because 127829969 - 2¹⁶ = 127764433 is a prime.

It is a super-2 number, since 2×127829969² = 32681001949081922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 127829971, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127829969.

It is not a weakly prime, because it can be changed into another prime (127829909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63914984 + 63914985.

It is an arithmetic number, because the mean of its divisors is an integer number (63914985).

Almost surely, 2^127829969 is an apocalyptic number.

It is an amenable number.

127829969 is a deficient number, since it is larger than the sum of its proper divisors (1).

127829969 is an equidigital number, since it uses as much as digits as its factorization.

127829969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 979776, while the sum is 53.

The square root of 127829969 is about 11306.1916222926. The cubic root of 127829969 is about 503.7451693716.

The spelling of 127829969 in words is "one hundred twenty-seven million, eight hundred twenty-nine thousand, nine hundred sixty-nine".