127338165 has 12 divisors (see below), whose sum is σ = 220719564. Its totient is φ = 67913664.

The previous prime is 127338161. The next prime is 127338193. The reversal of 127338165 is 561833721.

127338165 is a `hidden beast` number, since 1 + 273 + 381 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 73667889 = 7326^2 + 8583^2 .

It is not a de Polignac number, because 127338165 - 2² = 127338161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127338161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1414824 + ... + 1414913.

It is an arithmetic number, because the mean of its divisors is an integer number (18393297).

Almost surely, 2^127338165 is an apocalyptic number.

127338165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127338165 is a deficient number, since it is larger than the sum of its proper divisors (93381399).

127338165 is a wasteful number, since it uses less digits than its factorization.

127338165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829748 (or 2829745 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 127338165 is about 11284.4213409461. The cubic root of 127338165 is about 503.0983145704.

The spelling of 127338165 in words is "one hundred twenty-seven million, three hundred thirty-eight thousand, one hundred sixty-five".