261757 has 2 divisors, whose sum is σ = 261758. Its totient is φ = 261756.

The previous prime is 261739. The next prime is 261761. The reversal of 261757 is 757162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210681 + 51076 = 459^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 261757 - 2¹⁵ = 228989 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130878 + 130879.

It is an arithmetic number, because the mean of its divisors is an integer number (130879).

2²⁶¹⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

261757 is a deficient number, since it is larger than the sum of its proper divisors (1).

261757 is an equidigital number, since it uses as much as digits as its factorization.

261757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 28.

The square root of 261757 is about 511.6219307262. The cubic root of 261757 is about 63.9684903485.

The spelling of 261757 in words is "two hundred sixty-one thousand, seven hundred fifty-seven".