1005761 has 2 divisors, whose sum is σ = 1005762. Its totient is φ = 1005760.

The previous prime is 1005751. The next prime is 1005821. The reversal of 1005761 is 1675001.

1005761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 774400 + 231361 = 880^2 + 481^2 .

It is an emirp because it is prime and its reverse (1675001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005761 - 2¹⁰ = 1004737 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502880 + 502881.

It is an arithmetic number, because the mean of its divisors is an integer number (502881).

2^1005761 is an apocalyptic number.

1005761 is the 449-th centered decagonal number.

It is an amenable number.

1005761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005761 is an equidigital number, since it uses as much as digits as its factorization.

1005761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1005761 is about 1002.8763632672. The cubic root of 1005761 is about 100.1916657411.

The spelling of 1005761 in words is "one million, five thousand, seven hundred sixty-one".