263761 has 2 divisors, whose sum is σ = 263762. Its totient is φ = 263760.

The previous prime is 263759. The next prime is 263803. The reversal of 263761 is 167362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231361 + 32400 = 481^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 263761 - 2¹ = 263759 is a prime.

Together with 263759, it forms a pair of twin primes.

263761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (263561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131880 + 131881.

It is an arithmetic number, because the mean of its divisors is an integer number (131881).

2²⁶³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

263761 is a deficient number, since it is larger than the sum of its proper divisors (1).

263761 is an equidigital number, since it uses as much as digits as its factorization.

263761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 25.

The square root of 263761 is about 513.5766739251. The cubic root of 263761 is about 64.1313221515.

It can be divided in two parts, 263 and 761, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 263761 in words is "two hundred sixty-three thousand, seven hundred sixty-one".