4641 has 16 divisors (see below), whose sum is σ = 8064. Its totient is φ = 2304.

The previous prime is 4639. The next prime is 4643. The reversal of 4641 is 1464.

Added to its reverse (1464) it gives a triangular number (6105 = T₁₁₀).

4641 is nontrivially palindromic in base 4 and base 16.

It is an interprime number because it is at equal distance from previous prime (4639) and next prime (4643).

It is not a de Polignac number, because 4641 - 2¹ = 4639 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4641.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4641.

It is not an unprimeable number, because it can be changed into a prime (4643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is the magic constant of a 21 × 21 magic square.

2⁴⁶⁴¹ is an apocalyptic number.

It is an amenable number.

4641 is a deficient number, since it is larger than the sum of its proper divisors (3423).

4641 is a wasteful number, since it uses less digits than its factorization.

4641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40.

The product of its digits is 96, while the sum is 15.

The square root of 4641 is about 68.1248853210. The cubic root of 4641 is about 16.6802999561.

Adding to 4641 its sum of digits (15), we get a triangular number (4656 = T₉₆).

Adding to 4641 its reverse (1464), we get a triangular number (6105 = T₁₁₀).

It can be divided in two parts, 464 and 1, that added together give a triangular number (465 = T₃₀).

The spelling of 4641 in words is "four thousand, six hundred forty-one".