270761 has 2 divisors, whose sum is σ = 270762. Its totient is φ = 270760.

The previous prime is 270749. The next prime is 270763. The reversal of 270761 is 167072.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 361 = 520^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 270761 - 2¹⁴ = 254377 is a prime.

It is a Sophie Germain prime.

Together with 270763, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (270763) 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 as a sum of consecutive naturals, namely, 135380 + 135381.

It is an arithmetic number, because the mean of its divisors is an integer number (135381).

2²⁷⁰⁷⁶¹ is an apocalyptic number.

It is an amenable number.

270761 is a deficient number, since it is larger than the sum of its proper divisors (1).

270761 is an equidigital number, since it uses as much as digits as its factorization.

270761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 270761 is about 520.3469996070. The cubic root of 270761 is about 64.6937068811.

The spelling of 270761 in words is "two hundred seventy thousand, seven hundred sixty-one".