2561737 has 2 divisors, whose sum is σ = 2561738. Its totient is φ = 2561736.

The previous prime is 2561731. The next prime is 2561743. The reversal of 2561737 is 7371652.

2561737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2561731) and next prime (2561743).

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 383161 = 1476^2 + 619^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561737 - 2³ = 2561729 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2561699 and 2561708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561731) 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, 1280868 + 1280869.

It is an arithmetic number, because the mean of its divisors is an integer number (1280869).

2^2561737 is an apocalyptic number.

It is an amenable number.

2561737 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561737 is an equidigital number, since it uses as much as digits as its factorization.

2561737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 31.

The square root of 2561737 is about 1600.5427204545. The cubic root of 2561737 is about 136.8290086163.

The spelling of 2561737 in words is "two million, five hundred sixty-one thousand, seven hundred thirty-seven".