127687 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 96768.

The previous prime is 127681. The next prime is 127691. The reversal of 127687 is 786721.

127687 = T₁₂₈ + T₁₂₉ + ... + T₁₄₁.

127687 = 1⁴ + 2⁴ + ... + 14⁴.

It is a happy number.

It is not a de Polignac number, because 127687 - 2³ = 127679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3433 + ... + 3469.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹²⁷⁶⁸⁷ is an apocalyptic number.

127687 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

127687 is a deficient number, since it is larger than the sum of its proper divisors (36473).

127687 is a wasteful number, since it uses less digits than its factorization.

127687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its digits is 4704, while the sum is 31.

The square root of 127687 is about 357.3331778607. Note that the first 3 decimals coincide. The cubic root of 127687 is about 50.3557297909.

The spelling of 127687 in words is "one hundred twenty-seven thousand, six hundred eighty-seven".