127261 has 2 divisors, whose sum is σ = 127262. Its totient is φ = 127260.

The previous prime is 127249. The next prime is 127271. The reversal of 127261 is 162721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 4761 = 350^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 127261 - 2⁷ = 127133 is a prime.

It is a pancake number, because a pancake can be divided into 127261 parts by 504 straight cuts.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63630 + 63631.

It is an arithmetic number, because the mean of its divisors is an integer number (63631).

2¹²⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

127261 is a deficient number, since it is larger than the sum of its proper divisors (1).

127261 is an equidigital number, since it uses as much as digits as its factorization.

127261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 19.

The square root of 127261 is about 356.7365975058. The cubic root of 127261 is about 50.2996670716.

Adding to 127261 its reverse (162721), we get a palindrome (289982).

The spelling of 127261 in words is "one hundred twenty-seven thousand, two hundred sixty-one".