127016 has 8 divisors (see below), whose sum is σ = 238170. Its totient is φ = 63504.

The previous prime is 126989. The next prime is 127031. The reversal of 127016 is 610721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 62500 = 254^2 + 250^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×127016² = 32266128512, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 126985 and 127003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7931 + ... + 7946.

2¹²⁷⁰¹⁶ is an apocalyptic number.

127016 is the 191-st centered heptagonal number.

It is an amenable number.

127016 is a deficient number, since it is larger than the sum of its proper divisors (111154).

127016 is a wasteful number, since it uses less digits than its factorization.

127016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 127016 is about 356.3930414584. The cubic root of 127016 is about 50.2673677414.

Adding to 127016 its reverse (610721), we get a palindrome (737737).

The spelling of 127016 in words is "one hundred twenty-seven thousand, sixteen".