127260961 has 9 divisors (see below), whose sum is σ = 132140281. Its totient is φ = 122556784.

The previous prime is 127260949. The next prime is 127260977. The reversal of 127260961 is 169062721.

The square root of 127260961 is 11281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8014561 + 119246400 = 2831^2 + 10920^2 .

It is not a de Polignac number, because 127260961 - 2¹¹ = 127258913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127260901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 326955 + ... + 327343.

Almost surely, 2^127260961 is an apocalyptic number.

127260961 is the 11281-st square number.

127260961 is the 5641-st centered octagonal number.

It is an amenable number.

127260961 is a deficient number, since it is larger than the sum of its proper divisors (4879320).

127260961 is an frugal number, since it uses more digits than its factorization.

127260961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 127260961 is about 502.9966193334.

The spelling of 127260961 in words is "one hundred twenty-seven million, two hundred sixty thousand, nine hundred sixty-one".