127065 has 16 divisors (see below), whose sum is σ = 209088. Its totient is φ = 65856.

The previous prime is 127051. The next prime is 127079. The reversal of 127065 is 560721.

It is an interprime number because it is at equal distance from previous prime (127051) and next prime (127079).

It is not a de Polignac number, because 127065 - 2⁵ = 127033 is a prime.

It is a super-2 number, since 2×127065² = 32291028450, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2¹²⁷⁰⁶⁵ is an apocalyptic number.

127065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127065 is a deficient number, since it is larger than the sum of its proper divisors (82023).

127065 is a wasteful number, since it uses less digits than its factorization.

127065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 127065 is about 356.4617791573. The cubic root of 127065 is about 50.2738309281.

Adding to 127065 its reverse (560721), we get a palindrome (687786).

The spelling of 127065 in words is "one hundred twenty-seven thousand, sixty-five".