5177761 has 2 divisors, whose sum is σ = 5177762. Its totient is φ = 5177760.

The previous prime is 5177723. The next prime is 5177771. The reversal of 5177761 is 1677715.

5177761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4227136 + 950625 = 2056^2 + 975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5177761 is a prime.

5177761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (5177701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2588880 + 2588881.

It is an arithmetic number, because the mean of its divisors is an integer number (2588881).

Almost surely, 2^5177761 is an apocalyptic number.

It is an amenable number.

5177761 is a deficient number, since it is larger than the sum of its proper divisors (1).

5177761 is an equidigital number, since it uses as much as digits as its factorization.

5177761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10290, while the sum is 34.

The square root of 5177761 is about 2275.4694021234. The cubic root of 5177761 is about 173.0004900473. Note that the first 3 decimals are identical.

The spelling of 5177761 in words is "five million, one hundred seventy-seven thousand, seven hundred sixty-one".