127966 has 8 divisors (see below), whose sum is σ = 194040. Its totient is φ = 63288.

The previous prime is 127951. The next prime is 127973. The reversal of 127966 is 669721.

127966 = T₁₄₀ + T₁₄₁ + ... + T₁₅₁.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2¹²⁷⁹⁶⁶ is an apocalyptic number.

127966 is a deficient number, since it is larger than the sum of its proper divisors (66074).

127966 is a wasteful number, since it uses less digits than its factorization.

127966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its digits is 4536, while the sum is 31.

The square root of 127966 is about 357.7233567996. The cubic root of 127966 is about 50.3923793803.

The spelling of 127966 in words is "one hundred twenty-seven thousand, nine hundred sixty-six".