766361 has 2 divisors, whose sum is σ = 766362. Its totient is φ = 766360.

The previous prime is 766357. The next prime is 766369. The reversal of 766361 is 163667.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 648025 + 118336 = 805^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 766361 - 2² = 766357 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766361.

It is not a weakly prime, because it can be changed into another prime (766369) 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, 383180 + 383181.

It is an arithmetic number, because the mean of its divisors is an integer number (383181).

2⁷⁶⁶³⁶¹ is an apocalyptic number.

766361 is the 392-nd centered decagonal number.

It is an amenable number.

766361 is a deficient number, since it is larger than the sum of its proper divisors (1).

766361 is an equidigital number, since it uses as much as digits as its factorization.

766361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 766361 is about 875.4204704027. The cubic root of 766361 is about 91.5119476371.

The spelling of 766361 in words is "seven hundred sixty-six thousand, three hundred sixty-one".