5167661 has 2 divisors, whose sum is σ = 5167662. Its totient is φ = 5167660.

The previous prime is 5167651. The next prime is 5167667. The reversal of 5167661 is 1667615.

5167661 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., 4813636 + 354025 = 2194^2 + 595^2 .

It is a cyclic number.

It is not a de Polignac number, because 5167661 - 2¹⁴ = 5151277 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5167667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583830 + 2583831.

It is an arithmetic number, because the mean of its divisors is an integer number (2583831).

Almost surely, 2^5167661 is an apocalyptic number.

It is an amenable number.

5167661 is a deficient number, since it is larger than the sum of its proper divisors (1).

5167661 is an equidigital number, since it uses as much as digits as its factorization.

5167661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 5167661 is about 2273.2489964806. The cubic root of 5167661 is about 172.8879290189.

The spelling of 5167661 in words is "five million, one hundred sixty-seven thousand, six hundred sixty-one".