5237761 has 2 divisors, whose sum is σ = 5237762. Its totient is φ = 5237760.

The previous prime is 5237753. The next prime is 5237789. The reversal of 5237761 is 1677325.

5237761 is digitally balanced in base 3, 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., 5089536 + 148225 = 2256^2 + 385^2 .

It is a cyclic number.

It is not a de Polignac number, because 5237761 - 2³ = 5237753 is a prime.

It is a Chen prime.

5237761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (5237731) 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, 2618880 + 2618881.

It is an arithmetic number, because the mean of its divisors is an integer number (2618881).

Almost surely, 2^5237761 is an apocalyptic number.

5237761 is the 1024-th centered decagonal number.

It is an amenable number.

5237761 is a deficient number, since it is larger than the sum of its proper divisors (1).

5237761 is an equidigital number, since it uses as much as digits as its factorization.

5237761 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 5237761 is about 2288.6155203529. The cubic root of 5237761 is about 173.6661697289. Note that the first 3 decimals are identical.

The spelling of 5237761 in words is "five million, two hundred thirty-seven thousand, seven hundred sixty-one".