127006 has 16 divisors (see below), whose sum is σ = 217728. Its totient is φ = 55000.

The previous prime is 126989. The next prime is 127031. The reversal of 127006 is 600721.

127006 = 4² + 5² + ... + 72².

It is a super-2 number, since 2×127006² = 32261048072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

127006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹²⁷⁰⁰⁶ is an apocalyptic number.

127006 is a deficient number, since it is larger than the sum of its proper divisors (90722).

127006 is a wasteful number, since it uses less digits than its factorization.

127006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 127006 is about 356.3790117277. The cubic root of 127006 is about 50.2660485195.

Adding to 127006 its reverse (600721), we get a palindrome (727727).

The spelling of 127006 in words is "one hundred twenty-seven thousand, six".