4680205 has 8 divisors (see below), whose sum is σ = 5628312. Its totient is φ = 3736128.

The previous prime is 4680199. The next prime is 4680211. The reversal of 4680205 is 5020864.

It is an interprime number because it is at equal distance from previous prime (4680199) and next prime (4680211).

It can be written as a sum of positive squares in 4 ways, for example, as 2036329 + 2643876 = 1427^2 + 1626^2 .

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 4680205 - 2⁵ = 4680173 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4680205.

It is a congruent number.

It is an unprimeable number.

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, 3027 + ... + 4303.

It is an arithmetic number, because the mean of its divisors is an integer number (703539).

Almost surely, 2^4680205 is an apocalyptic number.

It is an amenable number.

4680205 is a deficient number, since it is larger than the sum of its proper divisors (948107).

4680205 is a wasteful number, since it uses less digits than its factorization.

4680205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4680205 is about 2163.3781454013. The cubic root of 4680205 is about 167.2713744288.

The spelling of 4680205 in words is "four million, six hundred eighty thousand, two hundred five".