127005165 has 96 divisors (see below), whose sum is σ = 265224960. Its totient is φ = 57106944.

The previous prime is 127005161. The next prime is 127005169. The reversal of 127005165 is 561500721.

It is an interprime number because it is at equal distance from previous prime (127005161) and next prime (127005169).

It is not a de Polignac number, because 127005165 - 2² = 127005161 is a prime.

It is a super-2 number, since 2×127005165² = 32260623873354450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127005161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926977 + ... + 927113.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 2^127005165 is an apocalyptic number.

127005165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127005165 is an abundant number, since it is smaller than the sum of its proper divisors (138219795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127005165 is a wasteful number, since it uses less digits than its factorization.

127005165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 127005165 is about 11269.6568270733. The cubic root of 127005165 is about 502.6593836136.

Adding to 127005165 its reverse (561500721), we get a palindrome (688505886).

The spelling of 127005165 in words is "one hundred twenty-seven million, five thousand, one hundred sixty-five".