736505761 has 2 divisors, whose sum is σ = 736505762. Its totient is φ = 736505760.

The previous prime is 736505713. The next prime is 736505789. The reversal of 736505761 is 167505637.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689377536 + 47128225 = 26256^2 + 6865^2 .

It is a cyclic number.

It is not a de Polignac number, because 736505761 - 2⁷ = 736505633 is a prime.

It is not a weakly prime, because it can be changed into another prime (736502761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 368252880 + 368252881.

It is an arithmetic number, because the mean of its divisors is an integer number (368252881).

Almost surely, 2^736505761 is an apocalyptic number.

It is an amenable number.

736505761 is a deficient number, since it is larger than the sum of its proper divisors (1).

736505761 is an equidigital number, since it uses as much as digits as its factorization.

736505761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 736505761 is about 27138.6396306079. The cubic root of 736505761 is about 903.0782500611.

The spelling of 736505761 in words is "seven hundred thirty-six million, five hundred five thousand, seven hundred sixty-one".