4587921 has 20 divisors (see below), whose sum is σ = 7382452. Its totient is φ = 2822688.

The previous prime is 4587901. The next prime is 4587953. The reversal of 4587921 is 1297854.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 1476225 = 1764^2 + 1215^2 .

It is not a de Polignac number, because 4587921 - 2¹⁵ = 4555153 is a prime.

It is a super-4 number, since 4×4587921⁴ (a number of 28 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

4587921 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4587901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1126 + ... + 3231.

Almost surely, 2^4587921 is an apocalyptic number.

It is an amenable number.

4587921 is a deficient number, since it is larger than the sum of its proper divisors (2794531).

4587921 is a wasteful number, since it uses less digits than its factorization.

4587921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4373 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4587921 is about 2141.9432765599. The cubic root of 4587921 is about 166.1646525201.

The spelling of 4587921 in words is "four million, five hundred eighty-seven thousand, nine hundred twenty-one".