127797 has 8 divisors (see below), whose sum is σ = 174720. Its totient is φ = 83040.

The previous prime is 127781. The next prime is 127807. The reversal of 127797 is 797721.

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

It is not a de Polignac number, because 127797 - 2⁴ = 127781 is a prime.

127797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127717) 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 7 ways as a sum of consecutive naturals, for example, 397 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2¹²⁷⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

127797 is a deficient number, since it is larger than the sum of its proper divisors (46923).

127797 is a wasteful number, since it uses less digits than its factorization.

127797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083.

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

The square root of 127797 is about 357.4870627030. The cubic root of 127797 is about 50.3701858186.

The spelling of 127797 in words is "one hundred twenty-seven thousand, seven hundred ninety-seven".