4657509 has 6 divisors (see below), whose sum is σ = 6727526. Its totient is φ = 3105000.

The previous prime is 4657493. The next prime is 4657537. The reversal of 4657509 is 9057564.

It can be written as a sum of positive squares in only one way, i.e., 4397409 + 260100 = 2097^2 + 510^2 .

It is not a de Polignac number, because 4657509 - 2⁴ = 4657493 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 (4657579) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258742 + ... + 258759.

Almost surely, 2^4657509 is an apocalyptic number.

It is an amenable number.

4657509 is a deficient number, since it is larger than the sum of its proper divisors (2070017).

4657509 is a wasteful number, since it uses less digits than its factorization.

4657509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517507 (or 517504 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4657509 is about 2158.1262706339. The cubic root of 4657509 is about 167.0005497968. Note that the first 3 decimals are identical.

The spelling of 4657509 in words is "four million, six hundred fifty-seven thousand, five hundred nine".