5005661 has 8 divisors (see below), whose sum is σ = 5232600. Its totient is φ = 4782400.

The previous prime is 5005643. The next prime is 5005669. The reversal of 5005661 is 1665005.

5005661 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1276900 + 3728761 = 1130^2 + 1931^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5005661 - 2¹⁴ = 4989277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005669) 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 in 7 ways as a sum of consecutive naturals, for example, 2075 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 2^5005661 is an apocalyptic number.

It is an amenable number.

5005661 is a deficient number, since it is larger than the sum of its proper divisors (226939).

5005661 is a wasteful number, since it uses less digits than its factorization.

5005661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5005661 is about 2237.3334574891. Note that the first 3 decimals coincide. The cubic root of 5005661 is about 171.0621048199.

The spelling of 5005661 in words is "five million, five thousand, six hundred sixty-one".