127997 has 2 divisors, whose sum is σ = 127998. Its totient is φ = 127996.

The previous prime is 127979. The next prime is 128021. The reversal of 127997 is 799721.

Together with previous prime (127979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119716 + 8281 = 346^2 + 91^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63998 + 63999.

It is an arithmetic number, because the mean of its divisors is an integer number (63999).

2¹²⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

127997 is a deficient number, since it is larger than the sum of its proper divisors (1).

127997 is an equidigital number, since it uses as much as digits as its factorization.

127997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7938, while the sum is 35.

The square root of 127997 is about 357.7666837479. The cubic root of 127997 is about 50.3964482674.

The spelling of 127997 in words is "one hundred twenty-seven thousand, nine hundred ninety-seven".