127977 has 8 divisors (see below), whose sum is σ = 176640. Its totient is φ = 82320.

The previous prime is 127973. The next prime is 127979. The reversal of 127977 is 779721.

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

It is not a de Polignac number, because 127977 - 2² = 127973 is a prime.

It is a super-2 number, since 2×127977² = 32756225058, which contains 22 as substring.

127977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (127973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (22080).

2¹²⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

127977 is a deficient number, since it is larger than the sum of its proper divisors (48663).

127977 is a wasteful number, since it uses less digits than its factorization.

127977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503.

The product of its digits is 6174, while the sum is 33.

The square root of 127977 is about 357.7387314787. The cubic root of 127977 is about 50.3938232541.

The spelling of 127977 in words is "one hundred twenty-seven thousand, nine hundred seventy-seven".