4965584 has 20 divisors (see below), whose sum is σ = 10361316. Its totient is φ = 2291712.

The previous prime is 4965563. The next prime is 4965589. The reversal of 4965584 is 4855694.

It is a happy number.

4965584 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 672400 + 4293184 = 820^2 + 2072^2 .

It is a super-2 number, since 2×4965584² = 49314048922112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11729 + ... + 12144.

Almost surely, 2^4965584 is an apocalyptic number.

It is an amenable number.

4965584 is an abundant number, since it is smaller than the sum of its proper divisors (5395732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4965584 is a wasteful number, since it uses less digits than its factorization.

4965584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23894 (or 23888 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The square root of 4965584 is about 2228.3590374982. The cubic root of 4965584 is about 170.6043541506.

The spelling of 4965584 in words is "four million, nine hundred sixty-five thousand, five hundred eighty-four".