127005 has 8 divisors (see below), whose sum is σ = 203232. Its totient is φ = 67728.

The previous prime is 126989. The next prime is 127031. The reversal of 127005 is 500721.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 127005 - 2⁴ = 126989 is a prime.

It is a super-2 number, since 2×127005² = 32260540050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 8467 = 127005 / (1 + 2 + 7 + 0 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4219 + ... + 4248.

It is an arithmetic number, because the mean of its divisors is an integer number (25404).

2¹²⁷⁰⁰⁵ is an apocalyptic number.

127005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127005 is a deficient number, since it is larger than the sum of its proper divisors (76227).

127005 is an equidigital number, since it uses as much as digits as its factorization.

127005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 127005 is about 356.3776087242. The cubic root of 127005 is about 50.2659165935.

Adding to 127005 its reverse (500721), we get a palindrome (627726).

The spelling of 127005 in words is "one hundred twenty-seven thousand, five".