4657005 has 24 divisors (see below), whose sum is σ = 8293272. Its totient is φ = 2415744.

The previous prime is 4657001. The next prime is 4657007. The reversal of 4657005 is 5007564.

4657005 is a `hidden beast` number, since 4 + 657 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1814409 + 2842596 = 1347^2 + 1686^2 .

It is not a de Polignac number, because 4657005 - 2² = 4657001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4657005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657001) 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 in 23 ways as a sum of consecutive naturals, for example, 267 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (345553).

Almost surely, 2^4657005 is an apocalyptic number.

4657005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4657005 is a deficient number, since it is larger than the sum of its proper divisors (3636267).

4657005 is a wasteful number, since it uses less digits than its factorization.

4657005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4657005 is about 2158.0094995157. The cubic root of 4657005 is about 166.9945257388.

The spelling of 4657005 in words is "four million, six hundred fifty-seven thousand, five".