127649 has 2 divisors, whose sum is σ = 127650. Its totient is φ = 127648.

The previous prime is 127643. The next prime is 127657. The reversal of 127649 is 946721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 10000 = 343^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 127649 - 2¹² = 123553 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (127643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63824 + 63825.

It is an arithmetic number, because the mean of its divisors is an integer number (63825).

127649 is a Friedman number, since it can be written as 7^6+(9+2-1)^4, using all its digits and the basic arithmetic operations.

2¹²⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

127649 is a deficient number, since it is larger than the sum of its proper divisors (1).

127649 is an equidigital number, since it uses as much as digits as its factorization.

127649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 29.

The square root of 127649 is about 357.2800022391. The cubic root of 127649 is about 50.3507339611.

The spelling of 127649 in words is "one hundred twenty-seven thousand, six hundred forty-nine".