127489 has 6 divisors (see below), whose sum is σ = 133826. Its totient is φ = 121440.

The previous prime is 127487. The next prime is 127493. The reversal of 127489 is 984721.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 8464 = 345^2 + 92^2 .

It is not a de Polignac number, because 127489 - 2¹ = 127487 is a prime.

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 4⁸ + 7³ + 8³ + 9⁵ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127489.

It is not an unprimeable number, because it can be changed into a prime (127481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409 + ... + 649.

It is a Proth number, since it is equal to 249 ⋅ 2⁹ + 1 and 249 < 2⁹.

2¹²⁷⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

127489 is a deficient number, since it is larger than the sum of its proper divisors (6337).

127489 is an equidigital number, since it uses as much as digits as its factorization.

127489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 127489 is about 357.0560180140. The cubic root of 127489 is about 50.3296880050.

It can be divided in two parts, 127 and 489, that added together give a palindrome (616).

The spelling of 127489 in words is "one hundred twenty-seven thousand, four hundred eighty-nine".