2601761 has 2 divisors, whose sum is σ = 2601762. Its totient is φ = 2601760.

The previous prime is 2601757. The next prime is 2601763. The reversal of 2601761 is 1671062.

2601761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2421136 + 180625 = 1556^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2601761 - 2² = 2601757 is a prime.

It is a super-2 number, since 2×2601761² = 13538320602242, which contains 22 as substring.

Together with 2601763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2601763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1300880 + 1300881.

It is an arithmetic number, because the mean of its divisors is an integer number (1300881).

2^2601761 is an apocalyptic number.

It is an amenable number.

2601761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2601761 is an equidigital number, since it uses as much as digits as its factorization.

2601761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2601761 is about 1612.9975201469. The cubic root of 2601761 is about 137.5379245251.

The spelling of 2601761 in words is "two million, six hundred one thousand, seven hundred sixty-one".