426761 has 2 divisors, whose sum is σ = 426762. Its totient is φ = 426760.

The previous prime is 426757. The next prime is 426763. The reversal of 426761 is 167624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 17161 = 640^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 426761 - 2² = 426757 is a prime.

It is a super-2 number, since 2×426761² = 364249902242, which contains 22 as substring.

Together with 426763, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 426761.

It is not a weakly prime, because it can be changed into another prime (426763) 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, 213380 + 213381.

It is an arithmetic number, because the mean of its divisors is an integer number (213381).

2⁴²⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

426761 is a deficient number, since it is larger than the sum of its proper divisors (1).

426761 is an equidigital number, since it uses as much as digits as its factorization.

426761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 426761 is about 653.2694696678. The cubic root of 426761 is about 75.2884300932.

The spelling of 426761 in words is "four hundred twenty-six thousand, seven hundred sixty-one".