736361 has 2 divisors, whose sum is σ = 736362. Its totient is φ = 736360.

The previous prime is 736357. The next prime is 736363. The reversal of 736361 is 163637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712336 + 24025 = 844^2 + 155^2 .

It is an emirp because it is prime and its reverse (163637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 736361 - 2² = 736357 is a prime.

Together with 736363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 736361.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736361.

It is not a weakly prime, because it can be changed into another prime (736363) 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, 368180 + 368181.

It is an arithmetic number, because the mean of its divisors is an integer number (368181).

2⁷³⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

736361 is a deficient number, since it is larger than the sum of its proper divisors (1).

736361 is an equidigital number, since it uses as much as digits as its factorization.

736361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 26.

The square root of 736361 is about 858.1147941855. The cubic root of 736361 is about 90.3019079184.

Adding to 736361 its reverse (163637), we get a palindrome (899998).

It can be divided in two parts, 73636 and 1, that added together give a palindrome (73637).

The spelling of 736361 in words is "seven hundred thirty-six thousand, three hundred sixty-one".