4656591 has 6 divisors (see below), whose sum is σ = 6726200. Its totient is φ = 3104388.

The previous prime is 4656581. The next prime is 4656607. The reversal of 4656591 is 1956564.

4656591 is a `hidden beast` number, since 4 + 6 + 565 + 91 = 666.

It is not a de Polignac number, because 4656591 - 2¹¹ = 4654543 is a prime.

It is a Duffinian number.

4656591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656551) 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 5 ways as a sum of consecutive naturals, for example, 258691 + ... + 258708.

Almost surely, 2^4656591 is an apocalyptic number.

4656591 is a deficient number, since it is larger than the sum of its proper divisors (2069609).

4656591 is a wasteful number, since it uses less digits than its factorization.

4656591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517405 (or 517402 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 4656591 is about 2157.9135756559. The cubic root of 4656591 is about 166.9895770803.

It can be divided in two parts, 46565 and 91, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4656591 in words is "four million, six hundred fifty-six thousand, five hundred ninety-one".